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Finding the Fourth Proportional to 99.24, 136.20 and 97.86

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Solution

The fourth proportional to 99.24, 136.20 and 97.86 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 136.20 = 97.86 : x
  2. Step 2: Convert to fraction form
    99.24/136.20 = 97.86/x
  3. Step 3: Cross multiply
    99.24x = 136.20 × 97.86
  4. Step 4: Simplify right side
    99.24x = 13,328.53
  5. Step 5: Solve for x
    x = 13,328.53/99.24
  6. Step 6: Final answer
    x = 134.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.