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Finding the Fourth Proportional to 107.26, 159.63 and 103.42

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Solution

The fourth proportional to 107.26, 159.63 and 103.42 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 159.63 = 103.42 : x
  2. Step 2: Convert to fraction form
    107.26/159.63 = 103.42/x
  3. Step 3: Cross multiply
    107.26x = 159.63 × 103.42
  4. Step 4: Simplify right side
    107.26x = 16,508.42
  5. Step 5: Solve for x
    x = 16,508.42/107.26
  6. Step 6: Final answer
    x = 153.91

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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.