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Finding the Fourth Proportional to 84.75, 116.96 and 55.65

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Solution

The fourth proportional to 84.75, 116.96 and 55.65 is: 76.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 116.96 = 55.65 : x
  2. Step 2: Convert to fraction form
    84.75/116.96 = 55.65/x
  3. Step 3: Cross multiply
    84.75x = 116.96 × 55.65
  4. Step 4: Simplify right side
    84.75x = 6,508.82
  5. Step 5: Solve for x
    x = 6,508.82/84.75
  6. Step 6: Final answer
    x = 76.80

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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.