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Finding the Fourth Proportional to 39.72, 59.29 and 37.02

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Solution

The fourth proportional to 39.72, 59.29 and 37.02 is: 55.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.72 : 59.29 = 37.02 : x
  2. Step 2: Convert to fraction form
    39.72/59.29 = 37.02/x
  3. Step 3: Cross multiply
    39.72x = 59.29 × 37.02
  4. Step 4: Simplify right side
    39.72x = 2,194.92
  5. Step 5: Solve for x
    x = 2,194.92/39.72
  6. Step 6: Final answer
    x = 55.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.