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Finding the Fourth Proportional to 107.54, 149.41 and 106.26

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Solution

The fourth proportional to 107.54, 149.41 and 106.26 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.54 : 149.41 = 106.26 : x
  2. Step 2: Convert to fraction form
    107.54/149.41 = 106.26/x
  3. Step 3: Cross multiply
    107.54x = 149.41 × 106.26
  4. Step 4: Simplify right side
    107.54x = 15,876.31
  5. Step 5: Solve for x
    x = 15,876.31/107.54
  6. Step 6: Final answer
    x = 147.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.