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Finding the Fourth Proportional to 96.16, 143.88 and 71.92

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Solution

The fourth proportional to 96.16, 143.88 and 71.92 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 143.88 = 71.92 : x
  2. Step 2: Convert to fraction form
    96.16/143.88 = 71.92/x
  3. Step 3: Cross multiply
    96.16x = 143.88 × 71.92
  4. Step 4: Simplify right side
    96.16x = 10,347.85
  5. Step 5: Solve for x
    x = 10,347.85/96.16
  6. Step 6: Final answer
    x = 107.61

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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.