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Finding the Fourth Proportional to 159.53, 220.34 and 116.06

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Solution

The fourth proportional to 159.53, 220.34 and 116.06 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.53 : 220.34 = 116.06 : x
  2. Step 2: Convert to fraction form
    159.53/220.34 = 116.06/x
  3. Step 3: Cross multiply
    159.53x = 220.34 × 116.06
  4. Step 4: Simplify right side
    159.53x = 25,572.08
  5. Step 5: Solve for x
    x = 25,572.08/159.53
  6. Step 6: Final answer
    x = 160.30

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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.