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Finding the Fourth Proportional to 113.92, 156.48 and 99.28

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Solution

The fourth proportional to 113.92, 156.48 and 99.28 is: 136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.92 : 156.48 = 99.28 : x
  2. Step 2: Convert to fraction form
    113.92/156.48 = 99.28/x
  3. Step 3: Cross multiply
    113.92x = 156.48 × 99.28
  4. Step 4: Simplify right side
    113.92x = 15,535.33
  5. Step 5: Solve for x
    x = 15,535.33/113.92
  6. Step 6: Final answer
    x = 136.37

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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.