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Finding the Fourth Proportional to 120.91, 180.29 and 106.52

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Solution

The fourth proportional to 120.91, 180.29 and 106.52 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.91 : 180.29 = 106.52 : x
  2. Step 2: Convert to fraction form
    120.91/180.29 = 106.52/x
  3. Step 3: Cross multiply
    120.91x = 180.29 × 106.52
  4. Step 4: Simplify right side
    120.91x = 19,204.76
  5. Step 5: Solve for x
    x = 19,204.76/120.91
  6. Step 6: Final answer
    x = 158.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.