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Finding the Fourth Proportional to 120.06, 179.87 and 65.13

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Solution

The fourth proportional to 120.06, 179.87 and 65.13 is: 97.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.06 : 179.87 = 65.13 : x
  2. Step 2: Convert to fraction form
    120.06/179.87 = 65.13/x
  3. Step 3: Cross multiply
    120.06x = 179.87 × 65.13
  4. Step 4: Simplify right side
    120.06x = 11,714.61
  5. Step 5: Solve for x
    x = 11,714.61/120.06
  6. Step 6: Final answer
    x = 97.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.