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Finding the Fourth Proportional to 74.50, 102.68 and 61.44

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Solution

The fourth proportional to 74.50, 102.68 and 61.44 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 102.68 = 61.44 : x
  2. Step 2: Convert to fraction form
    74.50/102.68 = 61.44/x
  3. Step 3: Cross multiply
    74.50x = 102.68 × 61.44
  4. Step 4: Simplify right side
    74.50x = 6,308.66
  5. Step 5: Solve for x
    x = 6,308.66/74.50
  6. Step 6: Final answer
    x = 84.68

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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.