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Finding the Fourth Proportional to 107.66, 159.65 and 106.31

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Solution

The fourth proportional to 107.66, 159.65 and 106.31 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 159.65 = 106.31 : x
  2. Step 2: Convert to fraction form
    107.66/159.65 = 106.31/x
  3. Step 3: Cross multiply
    107.66x = 159.65 × 106.31
  4. Step 4: Simplify right side
    107.66x = 16,972.39
  5. Step 5: Solve for x
    x = 16,972.39/107.66
  6. Step 6: Final answer
    x = 157.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.