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Finding the Fourth Proportional to 82.80, 124.66 and 68.48

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Solution

The fourth proportional to 82.80, 124.66 and 68.48 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.80 : 124.66 = 68.48 : x
  2. Step 2: Convert to fraction form
    82.80/124.66 = 68.48/x
  3. Step 3: Cross multiply
    82.80x = 124.66 × 68.48
  4. Step 4: Simplify right side
    82.80x = 8,536.72
  5. Step 5: Solve for x
    x = 8,536.72/82.80
  6. Step 6: Final answer
    x = 103.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.