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Finding the Fourth Proportional to 52.35, 72.57 and 49.61

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Solution

The fourth proportional to 52.35, 72.57 and 49.61 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.35 : 72.57 = 49.61 : x
  2. Step 2: Convert to fraction form
    52.35/72.57 = 49.61/x
  3. Step 3: Cross multiply
    52.35x = 72.57 × 49.61
  4. Step 4: Simplify right side
    52.35x = 3,600.20
  5. Step 5: Solve for x
    x = 3,600.20/52.35
  6. Step 6: Final answer
    x = 68.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.