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Finding the Fourth Proportional to 82.49, 123.74 and 53.23

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Solution

The fourth proportional to 82.49, 123.74 and 53.23 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.49 : 123.74 = 53.23 : x
  2. Step 2: Convert to fraction form
    82.49/123.74 = 53.23/x
  3. Step 3: Cross multiply
    82.49x = 123.74 × 53.23
  4. Step 4: Simplify right side
    82.49x = 6,586.68
  5. Step 5: Solve for x
    x = 6,586.68/82.49
  6. Step 6: Final answer
    x = 79.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.