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Finding the Fourth Proportional to 83.65, 115.49 and 65.23

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Solution

The fourth proportional to 83.65, 115.49 and 65.23 is: 90.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.65 : 115.49 = 65.23 : x
  2. Step 2: Convert to fraction form
    83.65/115.49 = 65.23/x
  3. Step 3: Cross multiply
    83.65x = 115.49 × 65.23
  4. Step 4: Simplify right side
    83.65x = 7,533.41
  5. Step 5: Solve for x
    x = 7,533.41/83.65
  6. Step 6: Final answer
    x = 90.06

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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.