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Finding the Fourth Proportional to 84.89, 117.05 and 52.11

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Solution

The fourth proportional to 84.89, 117.05 and 52.11 is: 71.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.89 : 117.05 = 52.11 : x
  2. Step 2: Convert to fraction form
    84.89/117.05 = 52.11/x
  3. Step 3: Cross multiply
    84.89x = 117.05 × 52.11
  4. Step 4: Simplify right side
    84.89x = 6,099.21
  5. Step 5: Solve for x
    x = 6,099.21/84.89
  6. Step 6: Final answer
    x = 71.85

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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.