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Finding the Fourth Proportional to 86.19, 118.74 and 82.08

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Solution

The fourth proportional to 86.19, 118.74 and 82.08 is: 113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.19 : 118.74 = 82.08 : x
  2. Step 2: Convert to fraction form
    86.19/118.74 = 82.08/x
  3. Step 3: Cross multiply
    86.19x = 118.74 × 82.08
  4. Step 4: Simplify right side
    86.19x = 9,746.18
  5. Step 5: Solve for x
    x = 9,746.18/86.19
  6. Step 6: Final answer
    x = 113.08

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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.