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Finding the Fourth Proportional to 131.20, 180.14 and 112.76

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Solution

The fourth proportional to 131.20, 180.14 and 112.76 is: 154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.20 : 180.14 = 112.76 : x
  2. Step 2: Convert to fraction form
    131.20/180.14 = 112.76/x
  3. Step 3: Cross multiply
    131.20x = 180.14 × 112.76
  4. Step 4: Simplify right side
    131.20x = 20,312.59
  5. Step 5: Solve for x
    x = 20,312.59/131.20
  6. Step 6: Final answer
    x = 154.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.