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Finding the Fourth Proportional to 86.74, 119.68 and 57.65

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Solution

The fourth proportional to 86.74, 119.68 and 57.65 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.74 : 119.68 = 57.65 : x
  2. Step 2: Convert to fraction form
    86.74/119.68 = 57.65/x
  3. Step 3: Cross multiply
    86.74x = 119.68 × 57.65
  4. Step 4: Simplify right side
    86.74x = 6,898.81
  5. Step 5: Solve for x
    x = 6,898.81/86.74
  6. Step 6: Final answer
    x = 79.54

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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.