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Finding the Fourth Proportional to 159.53, 220.17 and 97.40

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Solution

The fourth proportional to 159.53, 220.17 and 97.40 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.53 : 220.17 = 97.40 : x
  2. Step 2: Convert to fraction form
    159.53/220.17 = 97.40/x
  3. Step 3: Cross multiply
    159.53x = 220.17 × 97.40
  4. Step 4: Simplify right side
    159.53x = 21,443.46
  5. Step 5: Solve for x
    x = 21,443.46/159.53
  6. Step 6: Final answer
    x = 134.42

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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.