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Finding the Fourth Proportional to 130.62, 179.61 and 116.04

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Solution

The fourth proportional to 130.62, 179.61 and 116.04 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.62 : 179.61 = 116.04 : x
  2. Step 2: Convert to fraction form
    130.62/179.61 = 116.04/x
  3. Step 3: Cross multiply
    130.62x = 179.61 × 116.04
  4. Step 4: Simplify right side
    130.62x = 20,841.94
  5. Step 5: Solve for x
    x = 20,841.94/130.62
  6. Step 6: Final answer
    x = 159.56

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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.