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Finding the Fourth Proportional to 32.58, 45.27 and 32.13

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Solution

The fourth proportional to 32.58, 45.27 and 32.13 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.58 : 45.27 = 32.13 : x
  2. Step 2: Convert to fraction form
    32.58/45.27 = 32.13/x
  3. Step 3: Cross multiply
    32.58x = 45.27 × 32.13
  4. Step 4: Simplify right side
    32.58x = 1,454.53
  5. Step 5: Solve for x
    x = 1,454.53/32.58
  6. Step 6: Final answer
    x = 44.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.