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Finding the Fourth Proportional to 48.23, 66.56 and 30.75

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Solution

The fourth proportional to 48.23, 66.56 and 30.75 is: 42.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 66.56 = 30.75 : x
  2. Step 2: Convert to fraction form
    48.23/66.56 = 30.75/x
  3. Step 3: Cross multiply
    48.23x = 66.56 × 30.75
  4. Step 4: Simplify right side
    48.23x = 2,046.52
  5. Step 5: Solve for x
    x = 2,046.52/48.23
  6. Step 6: Final answer
    x = 42.43

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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.