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Finding the Fourth Proportional to 159.59, 220.04 and 117.38

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Solution

The fourth proportional to 159.59, 220.04 and 117.38 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.59 : 220.04 = 117.38 : x
  2. Step 2: Convert to fraction form
    159.59/220.04 = 117.38/x
  3. Step 3: Cross multiply
    159.59x = 220.04 × 117.38
  4. Step 4: Simplify right side
    159.59x = 25,828.26
  5. Step 5: Solve for x
    x = 25,828.26/159.59
  6. Step 6: Final answer
    x = 161.85

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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.