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Finding the Fourth Proportional to 75.42, 113.19 and 49.77

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Solution

The fourth proportional to 75.42, 113.19 and 49.77 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 113.19 = 49.77 : x
  2. Step 2: Convert to fraction form
    75.42/113.19 = 49.77/x
  3. Step 3: Cross multiply
    75.42x = 113.19 × 49.77
  4. Step 4: Simplify right side
    75.42x = 5,633.47
  5. Step 5: Solve for x
    x = 5,633.47/75.42
  6. Step 6: Final answer
    x = 74.69

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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.