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Finding the Fourth Proportional to 52.85, 79.05 and 41.42

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Solution

The fourth proportional to 52.85, 79.05 and 41.42 is: 61.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.85 : 79.05 = 41.42 : x
  2. Step 2: Convert to fraction form
    52.85/79.05 = 41.42/x
  3. Step 3: Cross multiply
    52.85x = 79.05 × 41.42
  4. Step 4: Simplify right side
    52.85x = 3,274.25
  5. Step 5: Solve for x
    x = 3,274.25/52.85
  6. Step 6: Final answer
    x = 61.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.