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Finding the Fourth Proportional to 130.29, 179.61 and 81.14

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Solution

The fourth proportional to 130.29, 179.61 and 81.14 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.29 : 179.61 = 81.14 : x
  2. Step 2: Convert to fraction form
    130.29/179.61 = 81.14/x
  3. Step 3: Cross multiply
    130.29x = 179.61 × 81.14
  4. Step 4: Simplify right side
    130.29x = 14,572.66
  5. Step 5: Solve for x
    x = 14,572.66/130.29
  6. Step 6: Final answer
    x = 111.85

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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.