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Finding the Fourth Proportional to 132.64, 182.97 and 77.37

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Solution

The fourth proportional to 132.64, 182.97 and 77.37 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.64 : 182.97 = 77.37 : x
  2. Step 2: Convert to fraction form
    132.64/182.97 = 77.37/x
  3. Step 3: Cross multiply
    132.64x = 182.97 × 77.37
  4. Step 4: Simplify right side
    132.64x = 14,155.70
  5. Step 5: Solve for x
    x = 14,155.70/132.64
  6. Step 6: Final answer
    x = 106.72

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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.