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Finding the Fourth Proportional to 84.89, 117.14 and 52.14

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Solution

The fourth proportional to 84.89, 117.14 and 52.14 is: 71.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.89 : 117.14 = 52.14 : x
  2. Step 2: Convert to fraction form
    84.89/117.14 = 52.14/x
  3. Step 3: Cross multiply
    84.89x = 117.14 × 52.14
  4. Step 4: Simplify right side
    84.89x = 6,107.68
  5. Step 5: Solve for x
    x = 6,107.68/84.89
  6. Step 6: Final answer
    x = 71.95

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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.