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Finding the Fourth Proportional to 82.32, 122.82 and 69.48

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Solution

The fourth proportional to 82.32, 122.82 and 69.48 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.32 : 122.82 = 69.48 : x
  2. Step 2: Convert to fraction form
    82.32/122.82 = 69.48/x
  3. Step 3: Cross multiply
    82.32x = 122.82 × 69.48
  4. Step 4: Simplify right side
    82.32x = 8,533.53
  5. Step 5: Solve for x
    x = 8,533.53/82.32
  6. Step 6: Final answer
    x = 103.66

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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.