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Finding the Fourth Proportional to 99.38, 148.92 and 68.86

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Solution

The fourth proportional to 99.38, 148.92 and 68.86 is: 103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 148.92 = 68.86 : x
  2. Step 2: Convert to fraction form
    99.38/148.92 = 68.86/x
  3. Step 3: Cross multiply
    99.38x = 148.92 × 68.86
  4. Step 4: Simplify right side
    99.38x = 10,254.63
  5. Step 5: Solve for x
    x = 10,254.63/99.38
  6. Step 6: Final answer
    x = 103.19

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Why These Related Problems?

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