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Finding the Fourth Proportional to 99.38, 148.54 and 76.42

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Solution

The fourth proportional to 99.38, 148.54 and 76.42 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 148.54 = 76.42 : x
  2. Step 2: Convert to fraction form
    99.38/148.54 = 76.42/x
  3. Step 3: Cross multiply
    99.38x = 148.54 × 76.42
  4. Step 4: Simplify right side
    99.38x = 11,351.43
  5. Step 5: Solve for x
    x = 11,351.43/99.38
  6. Step 6: Final answer
    x = 114.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.