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Finding the Fourth Proportional to 159.72, 220.35 and 94.20

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Solution

The fourth proportional to 159.72, 220.35 and 94.20 is: 129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.72 : 220.35 = 94.20 : x
  2. Step 2: Convert to fraction form
    159.72/220.35 = 94.20/x
  3. Step 3: Cross multiply
    159.72x = 220.35 × 94.20
  4. Step 4: Simplify right side
    159.72x = 20,756.97
  5. Step 5: Solve for x
    x = 20,756.97/159.72
  6. Step 6: Final answer
    x = 129.96

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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.