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Finding the Fourth Proportional to 48.78, 67.50 and 47.12

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Solution

The fourth proportional to 48.78, 67.50 and 47.12 is: 65.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.78 : 67.50 = 47.12 : x
  2. Step 2: Convert to fraction form
    48.78/67.50 = 47.12/x
  3. Step 3: Cross multiply
    48.78x = 67.50 × 47.12
  4. Step 4: Simplify right side
    48.78x = 3,180.26
  5. Step 5: Solve for x
    x = 3,180.26/48.78
  6. Step 6: Final answer
    x = 65.20

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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.