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Finding the Fourth Proportional to 107.84, 148.87 and 96.10

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Solution

The fourth proportional to 107.84, 148.87 and 96.10 is: 132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 148.87 = 96.10 : x
  2. Step 2: Convert to fraction form
    107.84/148.87 = 96.10/x
  3. Step 3: Cross multiply
    107.84x = 148.87 × 96.10
  4. Step 4: Simplify right side
    107.84x = 14,306.15
  5. Step 5: Solve for x
    x = 14,306.15/107.84
  6. Step 6: Final answer
    x = 132.66

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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.