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Finding the Fourth Proportional to 75.40, 112.88 and 67.24

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Solution

The fourth proportional to 75.40, 112.88 and 67.24 is: 100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.40 : 112.88 = 67.24 : x
  2. Step 2: Convert to fraction form
    75.40/112.88 = 67.24/x
  3. Step 3: Cross multiply
    75.40x = 112.88 × 67.24
  4. Step 4: Simplify right side
    75.40x = 7,590.05
  5. Step 5: Solve for x
    x = 7,590.05/75.40
  6. Step 6: Final answer
    x = 100.66

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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.