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Finding the Fourth Proportional to 48.36, 66.74 and 27.64

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Solution

The fourth proportional to 48.36, 66.74 and 27.64 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.36 : 66.74 = 27.64 : x
  2. Step 2: Convert to fraction form
    48.36/66.74 = 27.64/x
  3. Step 3: Cross multiply
    48.36x = 66.74 × 27.64
  4. Step 4: Simplify right side
    48.36x = 1,844.64
  5. Step 5: Solve for x
    x = 1,844.64/48.36
  6. Step 6: Final answer
    x = 38.14

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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.