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Finding the Fourth Proportional to 48.24, 66.45 and 47.13

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Solution

The fourth proportional to 48.24, 66.45 and 47.13 is: 64.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.24 : 66.45 = 47.13 : x
  2. Step 2: Convert to fraction form
    48.24/66.45 = 47.13/x
  3. Step 3: Cross multiply
    48.24x = 66.45 × 47.13
  4. Step 4: Simplify right side
    48.24x = 3,131.46
  5. Step 5: Solve for x
    x = 3,131.46/48.24
  6. Step 6: Final answer
    x = 64.91

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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.