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Finding the Fourth Proportional to 52.90, 72.83 and 49.22

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Solution

The fourth proportional to 52.90, 72.83 and 49.22 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 72.83 = 49.22 : x
  2. Step 2: Convert to fraction form
    52.90/72.83 = 49.22/x
  3. Step 3: Cross multiply
    52.90x = 72.83 × 49.22
  4. Step 4: Simplify right side
    52.90x = 3,584.69
  5. Step 5: Solve for x
    x = 3,584.69/52.90
  6. Step 6: Final answer
    x = 67.76

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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.