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Finding the Fourth Proportional to 86.56, 119.58 and 76.84

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Solution

The fourth proportional to 86.56, 119.58 and 76.84 is: 106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.56 : 119.58 = 76.84 : x
  2. Step 2: Convert to fraction form
    86.56/119.58 = 76.84/x
  3. Step 3: Cross multiply
    86.56x = 119.58 × 76.84
  4. Step 4: Simplify right side
    86.56x = 9,188.53
  5. Step 5: Solve for x
    x = 9,188.53/86.56
  6. Step 6: Final answer
    x = 106.15

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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.