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Finding the Fourth Proportional to 112.56, 169.56 and 95.84

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Solution

The fourth proportional to 112.56, 169.56 and 95.84 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 169.56 = 95.84 : x
  2. Step 2: Convert to fraction form
    112.56/169.56 = 95.84/x
  3. Step 3: Cross multiply
    112.56x = 169.56 × 95.84
  4. Step 4: Simplify right side
    112.56x = 16,250.63
  5. Step 5: Solve for x
    x = 16,250.63/112.56
  6. Step 6: Final answer
    x = 144.37

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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.