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Finding the Fourth Proportional to 113.25, 155.37 and 106.29

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Solution

The fourth proportional to 113.25, 155.37 and 106.29 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.25 : 155.37 = 106.29 : x
  2. Step 2: Convert to fraction form
    113.25/155.37 = 106.29/x
  3. Step 3: Cross multiply
    113.25x = 155.37 × 106.29
  4. Step 4: Simplify right side
    113.25x = 16,514.28
  5. Step 5: Solve for x
    x = 16,514.28/113.25
  6. Step 6: Final answer
    x = 145.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.