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Finding the Fourth Proportional to 84.28, 116.29 and 48.83

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Solution

The fourth proportional to 84.28, 116.29 and 48.83 is: 67.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.28 : 116.29 = 48.83 : x
  2. Step 2: Convert to fraction form
    84.28/116.29 = 48.83/x
  3. Step 3: Cross multiply
    84.28x = 116.29 × 48.83
  4. Step 4: Simplify right side
    84.28x = 5,678.44
  5. Step 5: Solve for x
    x = 5,678.44/84.28
  6. Step 6: Final answer
    x = 67.38

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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.