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Finding the Fourth Proportional to 132.71, 182.72 and 108.23

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Solution

The fourth proportional to 132.71, 182.72 and 108.23 is: 149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.71 : 182.72 = 108.23 : x
  2. Step 2: Convert to fraction form
    132.71/182.72 = 108.23/x
  3. Step 3: Cross multiply
    132.71x = 182.72 × 108.23
  4. Step 4: Simplify right side
    132.71x = 19,774.33
  5. Step 5: Solve for x
    x = 19,774.33/132.71
  6. Step 6: Final answer
    x = 149.01

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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.