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Finding the Fourth Proportional to 74.71, 102.76 and 63.78

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Solution

The fourth proportional to 74.71, 102.76 and 63.78 is: 87.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 102.76 = 63.78 : x
  2. Step 2: Convert to fraction form
    74.71/102.76 = 63.78/x
  3. Step 3: Cross multiply
    74.71x = 102.76 × 63.78
  4. Step 4: Simplify right side
    74.71x = 6,554.03
  5. Step 5: Solve for x
    x = 6,554.03/74.71
  6. Step 6: Final answer
    x = 87.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.