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Finding the Fourth Proportional to 82.50, 123.66 and 80.34

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Solution

The fourth proportional to 82.50, 123.66 and 80.34 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 123.66 = 80.34 : x
  2. Step 2: Convert to fraction form
    82.50/123.66 = 80.34/x
  3. Step 3: Cross multiply
    82.50x = 123.66 × 80.34
  4. Step 4: Simplify right side
    82.50x = 9,934.84
  5. Step 5: Solve for x
    x = 9,934.84/82.50
  6. Step 6: Final answer
    x = 120.42

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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.