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Finding the Fourth Proportional to 112.71, 168.20 and 96.45

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Solution

The fourth proportional to 112.71, 168.20 and 96.45 is: 143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.71 : 168.20 = 96.45 : x
  2. Step 2: Convert to fraction form
    112.71/168.20 = 96.45/x
  3. Step 3: Cross multiply
    112.71x = 168.20 × 96.45
  4. Step 4: Simplify right side
    112.71x = 16,222.41
  5. Step 5: Solve for x
    x = 16,222.41/112.71
  6. Step 6: Final answer
    x = 143.93

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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.