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Finding the Fourth Proportional to 132.39, 182.67 and 77.12

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Solution

The fourth proportional to 132.39, 182.67 and 77.12 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.39 : 182.67 = 77.12 : x
  2. Step 2: Convert to fraction form
    132.39/182.67 = 77.12/x
  3. Step 3: Cross multiply
    132.39x = 182.67 × 77.12
  4. Step 4: Simplify right side
    132.39x = 14,087.51
  5. Step 5: Solve for x
    x = 14,087.51/132.39
  6. Step 6: Final answer
    x = 106.41

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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.