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Finding the Fourth Proportional to 157.86, 217.68 and 102.56

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Solution

The fourth proportional to 157.86, 217.68 and 102.56 is: 141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.86 : 217.68 = 102.56 : x
  2. Step 2: Convert to fraction form
    157.86/217.68 = 102.56/x
  3. Step 3: Cross multiply
    157.86x = 217.68 × 102.56
  4. Step 4: Simplify right side
    157.86x = 22,325.26
  5. Step 5: Solve for x
    x = 22,325.26/157.86
  6. Step 6: Final answer
    x = 141.42

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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.