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Finding the Fourth Proportional to 96.60, 133.18 and 74.68

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Solution

The fourth proportional to 96.60, 133.18 and 74.68 is: 102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 133.18 = 74.68 : x
  2. Step 2: Convert to fraction form
    96.60/133.18 = 74.68/x
  3. Step 3: Cross multiply
    96.60x = 133.18 × 74.68
  4. Step 4: Simplify right side
    96.60x = 9,945.88
  5. Step 5: Solve for x
    x = 9,945.88/96.60
  6. Step 6: Final answer
    x = 102.96

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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.