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Finding the Fourth Proportional to 132.68, 182.67 and 112.97

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Solution

The fourth proportional to 132.68, 182.67 and 112.97 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.68 : 182.67 = 112.97 : x
  2. Step 2: Convert to fraction form
    132.68/182.67 = 112.97/x
  3. Step 3: Cross multiply
    132.68x = 182.67 × 112.97
  4. Step 4: Simplify right side
    132.68x = 20,635.32
  5. Step 5: Solve for x
    x = 20,635.32/132.68
  6. Step 6: Final answer
    x = 155.53

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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.