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Finding the Fourth Proportional to 82.06, 112.98 and 77.68

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Solution

The fourth proportional to 82.06, 112.98 and 77.68 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.06 : 112.98 = 77.68 : x
  2. Step 2: Convert to fraction form
    82.06/112.98 = 77.68/x
  3. Step 3: Cross multiply
    82.06x = 112.98 × 77.68
  4. Step 4: Simplify right side
    82.06x = 8,776.29
  5. Step 5: Solve for x
    x = 8,776.29/82.06
  6. Step 6: Final answer
    x = 106.95

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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.