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Finding the Fourth Proportional to 112.77, 168.96 and 104.88

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Solution

The fourth proportional to 112.77, 168.96 and 104.88 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.77 : 168.96 = 104.88 : x
  2. Step 2: Convert to fraction form
    112.77/168.96 = 104.88/x
  3. Step 3: Cross multiply
    112.77x = 168.96 × 104.88
  4. Step 4: Simplify right side
    112.77x = 17,719.29
  5. Step 5: Solve for x
    x = 17,719.29/112.77
  6. Step 6: Final answer
    x = 157.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.