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Finding the Fourth Proportional to 48.31, 66.57 and 38.45

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Solution

The fourth proportional to 48.31, 66.57 and 38.45 is: 52.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.31 : 66.57 = 38.45 : x
  2. Step 2: Convert to fraction form
    48.31/66.57 = 38.45/x
  3. Step 3: Cross multiply
    48.31x = 66.57 × 38.45
  4. Step 4: Simplify right side
    48.31x = 2,559.62
  5. Step 5: Solve for x
    x = 2,559.62/48.31
  6. Step 6: Final answer
    x = 52.98

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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.