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Finding the Fourth Proportional to 48.13, 66.36 and 37.74

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Solution

The fourth proportional to 48.13, 66.36 and 37.74 is: 52.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.13 : 66.36 = 37.74 : x
  2. Step 2: Convert to fraction form
    48.13/66.36 = 37.74/x
  3. Step 3: Cross multiply
    48.13x = 66.36 × 37.74
  4. Step 4: Simplify right side
    48.13x = 2,504.43
  5. Step 5: Solve for x
    x = 2,504.43/48.13
  6. Step 6: Final answer
    x = 52.03

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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.