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Finding the Fourth Proportional to 157.70, 217.78 and 102.48

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Solution

The fourth proportional to 157.70, 217.78 and 102.48 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 217.78 = 102.48 : x
  2. Step 2: Convert to fraction form
    157.70/217.78 = 102.48/x
  3. Step 3: Cross multiply
    157.70x = 217.78 × 102.48
  4. Step 4: Simplify right side
    157.70x = 22,318.09
  5. Step 5: Solve for x
    x = 22,318.09/157.70
  6. Step 6: Final answer
    x = 141.52

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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.