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Finding the Fourth Proportional to 118.42, 177.38 and 66.88

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Solution

The fourth proportional to 118.42, 177.38 and 66.88 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.42 : 177.38 = 66.88 : x
  2. Step 2: Convert to fraction form
    118.42/177.38 = 66.88/x
  3. Step 3: Cross multiply
    118.42x = 177.38 × 66.88
  4. Step 4: Simplify right side
    118.42x = 11,863.17
  5. Step 5: Solve for x
    x = 11,863.17/118.42
  6. Step 6: Final answer
    x = 100.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.