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Finding the Fourth Proportional to 75.90, 104.72 and 49.71

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Solution

The fourth proportional to 75.90, 104.72 and 49.71 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 104.72 = 49.71 : x
  2. Step 2: Convert to fraction form
    75.90/104.72 = 49.71/x
  3. Step 3: Cross multiply
    75.90x = 104.72 × 49.71
  4. Step 4: Simplify right side
    75.90x = 5,205.38
  5. Step 5: Solve for x
    x = 5,205.38/75.90
  6. Step 6: Final answer
    x = 68.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.