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Finding the Fourth Proportional to 32.67, 45.01 and 27.10

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Solution

The fourth proportional to 32.67, 45.01 and 27.10 is: 37.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.67 : 45.01 = 27.10 : x
  2. Step 2: Convert to fraction form
    32.67/45.01 = 27.10/x
  3. Step 3: Cross multiply
    32.67x = 45.01 × 27.10
  4. Step 4: Simplify right side
    32.67x = 1,219.77
  5. Step 5: Solve for x
    x = 1,219.77/32.67
  6. Step 6: Final answer
    x = 37.34

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Find fourth proportional to 16.34, 22.51 and 13.55
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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.