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Finding the Fourth Proportional to 106.59, 159.31 and 96.28

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Solution

The fourth proportional to 106.59, 159.31 and 96.28 is: 143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 159.31 = 96.28 : x
  2. Step 2: Convert to fraction form
    106.59/159.31 = 96.28/x
  3. Step 3: Cross multiply
    106.59x = 159.31 × 96.28
  4. Step 4: Simplify right side
    106.59x = 15,338.37
  5. Step 5: Solve for x
    x = 15,338.37/106.59
  6. Step 6: Final answer
    x = 143.90

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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.