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Finding the Fourth Proportional to 130.57, 179.87 and 109.85

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Solution

The fourth proportional to 130.57, 179.87 and 109.85 is: 151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 179.87 = 109.85 : x
  2. Step 2: Convert to fraction form
    130.57/179.87 = 109.85/x
  3. Step 3: Cross multiply
    130.57x = 179.87 × 109.85
  4. Step 4: Simplify right side
    130.57x = 19,757.27
  5. Step 5: Solve for x
    x = 19,757.27/130.57
  6. Step 6: Final answer
    x = 151.32

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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.