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Finding the Fourth Proportional to 99.38, 148.97 and 66.89

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Solution

The fourth proportional to 99.38, 148.97 and 66.89 is: 100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 148.97 = 66.89 : x
  2. Step 2: Convert to fraction form
    99.38/148.97 = 66.89/x
  3. Step 3: Cross multiply
    99.38x = 148.97 × 66.89
  4. Step 4: Simplify right side
    99.38x = 9,964.77
  5. Step 5: Solve for x
    x = 9,964.77/99.38
  6. Step 6: Final answer
    x = 100.27

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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.