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Finding the Fourth Proportional to 48.69, 67.19 and 34.16

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Solution

The fourth proportional to 48.69, 67.19 and 34.16 is: 47.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.69 : 67.19 = 34.16 : x
  2. Step 2: Convert to fraction form
    48.69/67.19 = 34.16/x
  3. Step 3: Cross multiply
    48.69x = 67.19 × 34.16
  4. Step 4: Simplify right side
    48.69x = 2,295.21
  5. Step 5: Solve for x
    x = 2,295.21/48.69
  6. Step 6: Final answer
    x = 47.14

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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.