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Finding the Fourth Proportional to 131.52, 180.96 and 112.88

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Solution

The fourth proportional to 131.52, 180.96 and 112.88 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 180.96 = 112.88 : x
  2. Step 2: Convert to fraction form
    131.52/180.96 = 112.88/x
  3. Step 3: Cross multiply
    131.52x = 180.96 × 112.88
  4. Step 4: Simplify right side
    131.52x = 20,426.76
  5. Step 5: Solve for x
    x = 20,426.76/131.52
  6. Step 6: Final answer
    x = 155.31

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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.