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Finding the Fourth Proportional to 84.85, 117.15 and 52.14

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Solution

The fourth proportional to 84.85, 117.15 and 52.14 is: 71.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 117.15 = 52.14 : x
  2. Step 2: Convert to fraction form
    84.85/117.15 = 52.14/x
  3. Step 3: Cross multiply
    84.85x = 117.15 × 52.14
  4. Step 4: Simplify right side
    84.85x = 6,108.44
  5. Step 5: Solve for x
    x = 6,108.44/84.85
  6. Step 6: Final answer
    x = 71.99

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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.