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Finding the Fourth Proportional to 75.48, 113.14 and 49.76

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Solution

The fourth proportional to 75.48, 113.14 and 49.76 is: 74.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.48 : 113.14 = 49.76 : x
  2. Step 2: Convert to fraction form
    75.48/113.14 = 49.76/x
  3. Step 3: Cross multiply
    75.48x = 113.14 × 49.76
  4. Step 4: Simplify right side
    75.48x = 5,629.85
  5. Step 5: Solve for x
    x = 5,629.85/75.48
  6. Step 6: Final answer
    x = 74.59

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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.