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Finding the Fourth Proportional to 82.96, 123.69 and 75.26

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Solution

The fourth proportional to 82.96, 123.69 and 75.26 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 123.69 = 75.26 : x
  2. Step 2: Convert to fraction form
    82.96/123.69 = 75.26/x
  3. Step 3: Cross multiply
    82.96x = 123.69 × 75.26
  4. Step 4: Simplify right side
    82.96x = 9,309.50
  5. Step 5: Solve for x
    x = 9,309.50/82.96
  6. Step 6: Final answer
    x = 112.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.