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Finding the Fourth Proportional to 86.68, 119.56 and 57.16

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Solution

The fourth proportional to 86.68, 119.56 and 57.16 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 119.56 = 57.16 : x
  2. Step 2: Convert to fraction form
    86.68/119.56 = 57.16/x
  3. Step 3: Cross multiply
    86.68x = 119.56 × 57.16
  4. Step 4: Simplify right side
    86.68x = 6,834.05
  5. Step 5: Solve for x
    x = 6,834.05/86.68
  6. Step 6: Final answer
    x = 78.84

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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.