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Finding the Fourth Proportional to 86.65, 119.62 and 53.92

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Solution

The fourth proportional to 86.65, 119.62 and 53.92 is: 74.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.65 : 119.62 = 53.92 : x
  2. Step 2: Convert to fraction form
    86.65/119.62 = 53.92/x
  3. Step 3: Cross multiply
    86.65x = 119.62 × 53.92
  4. Step 4: Simplify right side
    86.65x = 6,449.48
  5. Step 5: Solve for x
    x = 6,449.48/86.65
  6. Step 6: Final answer
    x = 74.43

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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.