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Finding the Fourth Proportional to 157.76, 217.67 and 102.48

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Solution

The fourth proportional to 157.76, 217.67 and 102.48 is: 141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 217.67 = 102.48 : x
  2. Step 2: Convert to fraction form
    157.76/217.67 = 102.48/x
  3. Step 3: Cross multiply
    157.76x = 217.67 × 102.48
  4. Step 4: Simplify right side
    157.76x = 22,306.81
  5. Step 5: Solve for x
    x = 22,306.81/157.76
  6. Step 6: Final answer
    x = 141.40

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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.