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Finding the Fourth Proportional to 157.52, 217.28 and 102.20

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Solution

The fourth proportional to 157.52, 217.28 and 102.20 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 217.28 = 102.20 : x
  2. Step 2: Convert to fraction form
    157.52/217.28 = 102.20/x
  3. Step 3: Cross multiply
    157.52x = 217.28 × 102.20
  4. Step 4: Simplify right side
    157.52x = 22,206.02
  5. Step 5: Solve for x
    x = 22,206.02/157.52
  6. Step 6: Final answer
    x = 140.97

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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.