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Finding the Fourth Proportional to 32.75, 45.17 and 32.21

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Solution

The fourth proportional to 32.75, 45.17 and 32.21 is: 44.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 45.17 = 32.21 : x
  2. Step 2: Convert to fraction form
    32.75/45.17 = 32.21/x
  3. Step 3: Cross multiply
    32.75x = 45.17 × 32.21
  4. Step 4: Simplify right side
    32.75x = 1,454.76
  5. Step 5: Solve for x
    x = 1,454.76/32.75
  6. Step 6: Final answer
    x = 44.42

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Find fourth proportional to 16.38, 22.58 and 16.11
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.