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Finding the Fourth Proportional to 105.54, 158.25 and 69.66

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Solution

The fourth proportional to 105.54, 158.25 and 69.66 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 158.25 = 69.66 : x
  2. Step 2: Convert to fraction form
    105.54/158.25 = 69.66/x
  3. Step 3: Cross multiply
    105.54x = 158.25 × 69.66
  4. Step 4: Simplify right side
    105.54x = 11,023.70
  5. Step 5: Solve for x
    x = 11,023.70/105.54
  6. Step 6: Final answer
    x = 104.45

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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.