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Finding the Fourth Proportional to 106.32, 158.78 and 82.20

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Solution

The fourth proportional to 106.32, 158.78 and 82.20 is: 122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 158.78 = 82.20 : x
  2. Step 2: Convert to fraction form
    106.32/158.78 = 82.20/x
  3. Step 3: Cross multiply
    106.32x = 158.78 × 82.20
  4. Step 4: Simplify right side
    106.32x = 13,051.31
  5. Step 5: Solve for x
    x = 13,051.31/106.32
  6. Step 6: Final answer
    x = 122.75

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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.