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Finding the Fourth Proportional to 157.81, 217.80 and 102.61

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Solution

The fourth proportional to 157.81, 217.80 and 102.61 is: 141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.81 : 217.80 = 102.61 : x
  2. Step 2: Convert to fraction form
    157.81/217.80 = 102.61/x
  3. Step 3: Cross multiply
    157.81x = 217.80 × 102.61
  4. Step 4: Simplify right side
    157.81x = 22,348.46
  5. Step 5: Solve for x
    x = 22,348.46/157.81
  6. Step 6: Final answer
    x = 141.62

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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.