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Finding the Fourth Proportional to 59.94, 82.85 and 49.10

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Solution

The fourth proportional to 59.94, 82.85 and 49.10 is: 67.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 82.85 = 49.10 : x
  2. Step 2: Convert to fraction form
    59.94/82.85 = 49.10/x
  3. Step 3: Cross multiply
    59.94x = 82.85 × 49.10
  4. Step 4: Simplify right side
    59.94x = 4,067.28
  5. Step 5: Solve for x
    x = 4,067.28/59.94
  6. Step 6: Final answer
    x = 67.86

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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.