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Finding the Fourth Proportional to 52.70, 72.77 and 37.17

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Solution

The fourth proportional to 52.70, 72.77 and 37.17 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 72.77 = 37.17 : x
  2. Step 2: Convert to fraction form
    52.70/72.77 = 37.17/x
  3. Step 3: Cross multiply
    52.70x = 72.77 × 37.17
  4. Step 4: Simplify right side
    52.70x = 2,704.68
  5. Step 5: Solve for x
    x = 2,704.68/52.70
  6. Step 6: Final answer
    x = 51.33

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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.