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Finding the Fourth Proportional to 112.10, 152.75 and 109.61

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Solution

The fourth proportional to 112.10, 152.75 and 109.61 is: 149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 152.75 = 109.61 : x
  2. Step 2: Convert to fraction form
    112.10/152.75 = 109.61/x
  3. Step 3: Cross multiply
    112.10x = 152.75 × 109.61
  4. Step 4: Simplify right side
    112.10x = 16,742.44
  5. Step 5: Solve for x
    x = 16,742.44/112.10
  6. Step 6: Final answer
    x = 149.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.