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Finding the Fourth Proportional to 157.29, 217.07 and 102.08

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Solution

The fourth proportional to 157.29, 217.07 and 102.08 is: 140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 217.07 = 102.08 : x
  2. Step 2: Convert to fraction form
    157.29/217.07 = 102.08/x
  3. Step 3: Cross multiply
    157.29x = 217.07 × 102.08
  4. Step 4: Simplify right side
    157.29x = 22,157.29
  5. Step 5: Solve for x
    x = 22,157.29/157.29
  6. Step 6: Final answer
    x = 140.87

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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.