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Finding the Fourth Proportional to 112.91, 155.60 and 105.62

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Solution

The fourth proportional to 112.91, 155.60 and 105.62 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.91 : 155.60 = 105.62 : x
  2. Step 2: Convert to fraction form
    112.91/155.60 = 105.62/x
  3. Step 3: Cross multiply
    112.91x = 155.60 × 105.62
  4. Step 4: Simplify right side
    112.91x = 16,434.47
  5. Step 5: Solve for x
    x = 16,434.47/112.91
  6. Step 6: Final answer
    x = 145.55

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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.