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Finding the Fourth Proportional to 159.70, 220.42 and 97.57

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Solution

The fourth proportional to 159.70, 220.42 and 97.57 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.70 : 220.42 = 97.57 : x
  2. Step 2: Convert to fraction form
    159.70/220.42 = 97.57/x
  3. Step 3: Cross multiply
    159.70x = 220.42 × 97.57
  4. Step 4: Simplify right side
    159.70x = 21,505.81
  5. Step 5: Solve for x
    x = 21,505.81/159.70
  6. Step 6: Final answer
    x = 134.66

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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.