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Finding the Fourth Proportional to 157.32, 217.17 and 99.18

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Solution

The fourth proportional to 157.32, 217.17 and 99.18 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.32 : 217.17 = 99.18 : x
  2. Step 2: Convert to fraction form
    157.32/217.17 = 99.18/x
  3. Step 3: Cross multiply
    157.32x = 217.17 × 99.18
  4. Step 4: Simplify right side
    157.32x = 21,538.92
  5. Step 5: Solve for x
    x = 21,538.92/157.32
  6. Step 6: Final answer
    x = 136.91

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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.