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Finding the Fourth Proportional to 42.71, 63.63 and 42.53

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Solution

The fourth proportional to 42.71, 63.63 and 42.53 is: 63.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 63.63 = 42.53 : x
  2. Step 2: Convert to fraction form
    42.71/63.63 = 42.53/x
  3. Step 3: Cross multiply
    42.71x = 63.63 × 42.53
  4. Step 4: Simplify right side
    42.71x = 2,705.87
  5. Step 5: Solve for x
    x = 2,705.87/42.71
  6. Step 6: Final answer
    x = 63.36

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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.