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Finding the Fourth Proportional to 74.48, 102.88 and 62.24

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Solution

The fourth proportional to 74.48, 102.88 and 62.24 is: 85.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 102.88 = 62.24 : x
  2. Step 2: Convert to fraction form
    74.48/102.88 = 62.24/x
  3. Step 3: Cross multiply
    74.48x = 102.88 × 62.24
  4. Step 4: Simplify right side
    74.48x = 6,403.25
  5. Step 5: Solve for x
    x = 6,403.25/74.48
  6. Step 6: Final answer
    x = 85.97

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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.