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Finding the Fourth Proportional to 112.05, 154.68 and 75.23

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Solution

The fourth proportional to 112.05, 154.68 and 75.23 is: 103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.05 : 154.68 = 75.23 : x
  2. Step 2: Convert to fraction form
    112.05/154.68 = 75.23/x
  3. Step 3: Cross multiply
    112.05x = 154.68 × 75.23
  4. Step 4: Simplify right side
    112.05x = 11,636.76
  5. Step 5: Solve for x
    x = 11,636.76/112.05
  6. Step 6: Final answer
    x = 103.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.