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Finding the Fourth Proportional to 48.25, 66.52 and 40.85

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Solution

The fourth proportional to 48.25, 66.52 and 40.85 is: 56.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.25 : 66.52 = 40.85 : x
  2. Step 2: Convert to fraction form
    48.25/66.52 = 40.85/x
  3. Step 3: Cross multiply
    48.25x = 66.52 × 40.85
  4. Step 4: Simplify right side
    48.25x = 2,717.42
  5. Step 5: Solve for x
    x = 2,717.42/48.25
  6. Step 6: Final answer
    x = 56.31

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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.