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Finding the Fourth Proportional to 132.91, 183.21 and 101.75

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Solution

The fourth proportional to 132.91, 183.21 and 101.75 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.91 : 183.21 = 101.75 : x
  2. Step 2: Convert to fraction form
    132.91/183.21 = 101.75/x
  3. Step 3: Cross multiply
    132.91x = 183.21 × 101.75
  4. Step 4: Simplify right side
    132.91x = 18,641.62
  5. Step 5: Solve for x
    x = 18,641.62/132.91
  6. Step 6: Final answer
    x = 140.26

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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.