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Finding the Fourth Proportional to 83.05, 124.40 and 70.72

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Solution

The fourth proportional to 83.05, 124.40 and 70.72 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 124.40 = 70.72 : x
  2. Step 2: Convert to fraction form
    83.05/124.40 = 70.72/x
  3. Step 3: Cross multiply
    83.05x = 124.40 × 70.72
  4. Step 4: Simplify right side
    83.05x = 8,797.43
  5. Step 5: Solve for x
    x = 8,797.43/83.05
  6. Step 6: Final answer
    x = 105.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.