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Finding the Fourth Proportional to 70.85, 106.33 and 28.13

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Solution

The fourth proportional to 70.85, 106.33 and 28.13 is: 42.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.85 : 106.33 = 28.13 : x
  2. Step 2: Convert to fraction form
    70.85/106.33 = 28.13/x
  3. Step 3: Cross multiply
    70.85x = 106.33 × 28.13
  4. Step 4: Simplify right side
    70.85x = 2,990.46
  5. Step 5: Solve for x
    x = 2,990.46/70.85
  6. Step 6: Final answer
    x = 42.21

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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.