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Finding the Fourth Proportional to 82.09, 123.15 and 75.22

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Solution

The fourth proportional to 82.09, 123.15 and 75.22 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 123.15 = 75.22 : x
  2. Step 2: Convert to fraction form
    82.09/123.15 = 75.22/x
  3. Step 3: Cross multiply
    82.09x = 123.15 × 75.22
  4. Step 4: Simplify right side
    82.09x = 9,263.34
  5. Step 5: Solve for x
    x = 9,263.34/82.09
  6. Step 6: Final answer
    x = 112.84

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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.