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Finding the Fourth Proportional to 86.71, 119.65 and 73.65

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Solution

The fourth proportional to 86.71, 119.65 and 73.65 is: 101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.71 : 119.65 = 73.65 : x
  2. Step 2: Convert to fraction form
    86.71/119.65 = 73.65/x
  3. Step 3: Cross multiply
    86.71x = 119.65 × 73.65
  4. Step 4: Simplify right side
    86.71x = 8,812.50
  5. Step 5: Solve for x
    x = 8,812.50/86.71
  6. Step 6: Final answer
    x = 101.63

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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.