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Finding the Fourth Proportional to 84.75, 116.98 and 51.57

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Solution

The fourth proportional to 84.75, 116.98 and 51.57 is: 71.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 116.98 = 51.57 : x
  2. Step 2: Convert to fraction form
    84.75/116.98 = 51.57/x
  3. Step 3: Cross multiply
    84.75x = 116.98 × 51.57
  4. Step 4: Simplify right side
    84.75x = 6,033.08
  5. Step 5: Solve for x
    x = 6,033.08/84.75
  6. Step 6: Final answer
    x = 71.19

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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.