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Finding the Fourth Proportional to 82.10, 113.40 and 77.54

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Solution

The fourth proportional to 82.10, 113.40 and 77.54 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 113.40 = 77.54 : x
  2. Step 2: Convert to fraction form
    82.10/113.40 = 77.54/x
  3. Step 3: Cross multiply
    82.10x = 113.40 × 77.54
  4. Step 4: Simplify right side
    82.10x = 8,793.04
  5. Step 5: Solve for x
    x = 8,793.04/82.10
  6. Step 6: Final answer
    x = 107.10

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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.