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Finding the Fourth Proportional to 75.20, 112.78 and 23.84

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Solution

The fourth proportional to 75.20, 112.78 and 23.84 is: 35.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.20 : 112.78 = 23.84 : x
  2. Step 2: Convert to fraction form
    75.20/112.78 = 23.84/x
  3. Step 3: Cross multiply
    75.20x = 112.78 × 23.84
  4. Step 4: Simplify right side
    75.20x = 2,688.90
  5. Step 5: Solve for x
    x = 2,688.90/75.20
  6. Step 6: Final answer
    x = 35.76

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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.