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Finding the Fourth Proportional to 75.41, 112.84 and 49.69

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Solution

The fourth proportional to 75.41, 112.84 and 49.69 is: 74.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.41 : 112.84 = 49.69 : x
  2. Step 2: Convert to fraction form
    75.41/112.84 = 49.69/x
  3. Step 3: Cross multiply
    75.41x = 112.84 × 49.69
  4. Step 4: Simplify right side
    75.41x = 5,606.61
  5. Step 5: Solve for x
    x = 5,606.61/75.41
  6. Step 6: Final answer
    x = 74.35

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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.