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Finding the Fourth Proportional to 118.68, 177.36 and 96.96

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Solution

The fourth proportional to 118.68, 177.36 and 96.96 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.68 : 177.36 = 96.96 : x
  2. Step 2: Convert to fraction form
    118.68/177.36 = 96.96/x
  3. Step 3: Cross multiply
    118.68x = 177.36 × 96.96
  4. Step 4: Simplify right side
    118.68x = 17,196.83
  5. Step 5: Solve for x
    x = 17,196.83/118.68
  6. Step 6: Final answer
    x = 144.90

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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.