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Finding the Fourth Proportional to 132.68, 182.70 and 104.96

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Solution

The fourth proportional to 132.68, 182.70 and 104.96 is: 144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.68 : 182.70 = 104.96 : x
  2. Step 2: Convert to fraction form
    132.68/182.70 = 104.96/x
  3. Step 3: Cross multiply
    132.68x = 182.70 × 104.96
  4. Step 4: Simplify right side
    132.68x = 19,176.19
  5. Step 5: Solve for x
    x = 19,176.19/132.68
  6. Step 6: Final answer
    x = 144.53

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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.