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Finding the Fourth Proportional to 84.16, 115.86 and 73.20

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Solution

The fourth proportional to 84.16, 115.86 and 73.20 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 115.86 = 73.20 : x
  2. Step 2: Convert to fraction form
    84.16/115.86 = 73.20/x
  3. Step 3: Cross multiply
    84.16x = 115.86 × 73.20
  4. Step 4: Simplify right side
    84.16x = 8,480.95
  5. Step 5: Solve for x
    x = 8,480.95/84.16
  6. Step 6: Final answer
    x = 100.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.