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Finding the Fourth Proportional to 112.53, 169.41 and 76.69

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Solution

The fourth proportional to 112.53, 169.41 and 76.69 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.53 : 169.41 = 76.69 : x
  2. Step 2: Convert to fraction form
    112.53/169.41 = 76.69/x
  3. Step 3: Cross multiply
    112.53x = 169.41 × 76.69
  4. Step 4: Simplify right side
    112.53x = 12,991.63
  5. Step 5: Solve for x
    x = 12,991.63/112.53
  6. Step 6: Final answer
    x = 115.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.