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Finding the Fourth Proportional to 112.68, 155.50 and 75.84

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Solution

The fourth proportional to 112.68, 155.50 and 75.84 is: 104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 155.50 = 75.84 : x
  2. Step 2: Convert to fraction form
    112.68/155.50 = 75.84/x
  3. Step 3: Cross multiply
    112.68x = 155.50 × 75.84
  4. Step 4: Simplify right side
    112.68x = 11,793.12
  5. Step 5: Solve for x
    x = 11,793.12/112.68
  6. Step 6: Final answer
    x = 104.66

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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.