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Finding the Fourth Proportional to 82.30, 122.82 and 75.01

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Solution

The fourth proportional to 82.30, 122.82 and 75.01 is: 111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.30 : 122.82 = 75.01 : x
  2. Step 2: Convert to fraction form
    82.30/122.82 = 75.01/x
  3. Step 3: Cross multiply
    82.30x = 122.82 × 75.01
  4. Step 4: Simplify right side
    82.30x = 9,212.73
  5. Step 5: Solve for x
    x = 9,212.73/82.30
  6. Step 6: Final answer
    x = 111.94

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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.