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Finding the Fourth Proportional to 82.09, 113.10 and 77.05

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Solution

The fourth proportional to 82.09, 113.10 and 77.05 is: 106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 113.10 = 77.05 : x
  2. Step 2: Convert to fraction form
    82.09/113.10 = 77.05/x
  3. Step 3: Cross multiply
    82.09x = 113.10 × 77.05
  4. Step 4: Simplify right side
    82.09x = 8,713.79
  5. Step 5: Solve for x
    x = 8,713.79/82.09
  6. Step 6: Final answer
    x = 106.16

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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.