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Finding the Fourth Proportional to 159.57, 220.20 and 97.50

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Solution

The fourth proportional to 159.57, 220.20 and 97.50 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 220.20 = 97.50 : x
  2. Step 2: Convert to fraction form
    159.57/220.20 = 97.50/x
  3. Step 3: Cross multiply
    159.57x = 220.20 × 97.50
  4. Step 4: Simplify right side
    159.57x = 21,470.00
  5. Step 5: Solve for x
    x = 21,470.00/159.57
  6. Step 6: Final answer
    x = 134.55

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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.