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Finding the Fourth Proportional to 84.76, 117.11 and 73.82

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Solution

The fourth proportional to 84.76, 117.11 and 73.82 is: 101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.76 : 117.11 = 73.82 : x
  2. Step 2: Convert to fraction form
    84.76/117.11 = 73.82/x
  3. Step 3: Cross multiply
    84.76x = 117.11 × 73.82
  4. Step 4: Simplify right side
    84.76x = 8,645.06
  5. Step 5: Solve for x
    x = 8,645.06/84.76
  6. Step 6: Final answer
    x = 101.99

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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.