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Finding the Fourth Proportional to 75.49, 113.24 and 29.84

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Solution

The fourth proportional to 75.49, 113.24 and 29.84 is: 44.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.49 : 113.24 = 29.84 : x
  2. Step 2: Convert to fraction form
    75.49/113.24 = 29.84/x
  3. Step 3: Cross multiply
    75.49x = 113.24 × 29.84
  4. Step 4: Simplify right side
    75.49x = 3,378.52
  5. Step 5: Solve for x
    x = 3,378.52/75.49
  6. Step 6: Final answer
    x = 44.76

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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.