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Finding the Fourth Proportional to 106.95, 159.72 and 94.20

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Solution

The fourth proportional to 106.95, 159.72 and 94.20 is: 140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 159.72 = 94.20 : x
  2. Step 2: Convert to fraction form
    106.95/159.72 = 94.20/x
  3. Step 3: Cross multiply
    106.95x = 159.72 × 94.20
  4. Step 4: Simplify right side
    106.95x = 15,045.62
  5. Step 5: Solve for x
    x = 15,045.62/106.95
  6. Step 6: Final answer
    x = 140.68

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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.