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Finding the Fourth Proportional to 112.70, 154.66 and 103.52

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Solution

The fourth proportional to 112.70, 154.66 and 103.52 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 154.66 = 103.52 : x
  2. Step 2: Convert to fraction form
    112.70/154.66 = 103.52/x
  3. Step 3: Cross multiply
    112.70x = 154.66 × 103.52
  4. Step 4: Simplify right side
    112.70x = 16,010.40
  5. Step 5: Solve for x
    x = 16,010.40/112.70
  6. Step 6: Final answer
    x = 142.06

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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.