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Finding the Fourth Proportional to 48.04, 66.13 and 41.57

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Solution

The fourth proportional to 48.04, 66.13 and 41.57 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.04 : 66.13 = 41.57 : x
  2. Step 2: Convert to fraction form
    48.04/66.13 = 41.57/x
  3. Step 3: Cross multiply
    48.04x = 66.13 × 41.57
  4. Step 4: Simplify right side
    48.04x = 2,748.69
  5. Step 5: Solve for x
    x = 2,748.69/48.04
  6. Step 6: Final answer
    x = 57.22

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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.