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Finding the Fourth Proportional to 42.18, 62.96 and 37.02

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Solution

The fourth proportional to 42.18, 62.96 and 37.02 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.18 : 62.96 = 37.02 : x
  2. Step 2: Convert to fraction form
    42.18/62.96 = 37.02/x
  3. Step 3: Cross multiply
    42.18x = 62.96 × 37.02
  4. Step 4: Simplify right side
    42.18x = 2,330.59
  5. Step 5: Solve for x
    x = 2,330.59/42.18
  6. Step 6: Final answer
    x = 55.25

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