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Finding the Fourth Proportional to 84.19, 115.86 and 73.87

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Solution

The fourth proportional to 84.19, 115.86 and 73.87 is: 101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 115.86 = 73.87 : x
  2. Step 2: Convert to fraction form
    84.19/115.86 = 73.87/x
  3. Step 3: Cross multiply
    84.19x = 115.86 × 73.87
  4. Step 4: Simplify right side
    84.19x = 8,558.58
  5. Step 5: Solve for x
    x = 8,558.58/84.19
  6. Step 6: Final answer
    x = 101.66

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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.