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Finding the Fourth Proportional to 48.17, 66.47 and 38.49

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Solution

The fourth proportional to 48.17, 66.47 and 38.49 is: 53.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 66.47 = 38.49 : x
  2. Step 2: Convert to fraction form
    48.17/66.47 = 38.49/x
  3. Step 3: Cross multiply
    48.17x = 66.47 × 38.49
  4. Step 4: Simplify right side
    48.17x = 2,558.24
  5. Step 5: Solve for x
    x = 2,558.24/48.17
  6. Step 6: Final answer
    x = 53.11

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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.