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Finding the Fourth Proportional to 105.20, 157.98 and 66.75

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Solution

The fourth proportional to 105.20, 157.98 and 66.75 is: 100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 157.98 = 66.75 : x
  2. Step 2: Convert to fraction form
    105.20/157.98 = 66.75/x
  3. Step 3: Cross multiply
    105.20x = 157.98 × 66.75
  4. Step 4: Simplify right side
    105.20x = 10,545.17
  5. Step 5: Solve for x
    x = 10,545.17/105.20
  6. Step 6: Final answer
    x = 100.24

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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.