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Finding the Fourth Proportional to 108.84, 149.38 and 96.91

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Solution

The fourth proportional to 108.84, 149.38 and 96.91 is: 133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 149.38 = 96.91 : x
  2. Step 2: Convert to fraction form
    108.84/149.38 = 96.91/x
  3. Step 3: Cross multiply
    108.84x = 149.38 × 96.91
  4. Step 4: Simplify right side
    108.84x = 14,476.42
  5. Step 5: Solve for x
    x = 14,476.42/108.84
  6. Step 6: Final answer
    x = 133.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.