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Finding the Fourth Proportional to 48.07, 66.27 and 36.42

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Solution

The fourth proportional to 48.07, 66.27 and 36.42 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.07 : 66.27 = 36.42 : x
  2. Step 2: Convert to fraction form
    48.07/66.27 = 36.42/x
  3. Step 3: Cross multiply
    48.07x = 66.27 × 36.42
  4. Step 4: Simplify right side
    48.07x = 2,413.55
  5. Step 5: Solve for x
    x = 2,413.55/48.07
  6. Step 6: Final answer
    x = 50.21

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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.