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Finding the Fourth Proportional to 102.86, 153.92 and 99.78

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Solution

The fourth proportional to 102.86, 153.92 and 99.78 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 153.92 = 99.78 : x
  2. Step 2: Convert to fraction form
    102.86/153.92 = 99.78/x
  3. Step 3: Cross multiply
    102.86x = 153.92 × 99.78
  4. Step 4: Simplify right side
    102.86x = 15,358.14
  5. Step 5: Solve for x
    x = 15,358.14/102.86
  6. Step 6: Final answer
    x = 149.31

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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.