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Finding the Fourth Proportional to 52.85, 72.89 and 41.91

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Solution

The fourth proportional to 52.85, 72.89 and 41.91 is: 57.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.85 : 72.89 = 41.91 : x
  2. Step 2: Convert to fraction form
    52.85/72.89 = 41.91/x
  3. Step 3: Cross multiply
    52.85x = 72.89 × 41.91
  4. Step 4: Simplify right side
    52.85x = 3,054.88
  5. Step 5: Solve for x
    x = 3,054.88/52.85
  6. Step 6: Final answer
    x = 57.80

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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.