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Finding the Fourth Proportional to 102.32, 140.72 and 99.28

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Solution

The fourth proportional to 102.32, 140.72 and 99.28 is: 136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 140.72 = 99.28 : x
  2. Step 2: Convert to fraction form
    102.32/140.72 = 99.28/x
  3. Step 3: Cross multiply
    102.32x = 140.72 × 99.28
  4. Step 4: Simplify right side
    102.32x = 13,970.68
  5. Step 5: Solve for x
    x = 13,970.68/102.32
  6. Step 6: Final answer
    x = 136.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.