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Finding the Fourth Proportional to 75.52, 112.84 and 67.44

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Solution

The fourth proportional to 75.52, 112.84 and 67.44 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.52 : 112.84 = 67.44 : x
  2. Step 2: Convert to fraction form
    75.52/112.84 = 67.44/x
  3. Step 3: Cross multiply
    75.52x = 112.84 × 67.44
  4. Step 4: Simplify right side
    75.52x = 7,609.93
  5. Step 5: Solve for x
    x = 7,609.93/75.52
  6. Step 6: Final answer
    x = 100.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.