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Finding the Fourth Proportional to 108.07, 149.20 and 96.37

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Solution

The fourth proportional to 108.07, 149.20 and 96.37 is: 133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.07 : 149.20 = 96.37 : x
  2. Step 2: Convert to fraction form
    108.07/149.20 = 96.37/x
  3. Step 3: Cross multiply
    108.07x = 149.20 × 96.37
  4. Step 4: Simplify right side
    108.07x = 14,377.79
  5. Step 5: Solve for x
    x = 14,377.79/108.07
  6. Step 6: Final answer
    x = 133.04

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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.