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Finding the Fourth Proportional to 82.78, 123.58 and 75.94

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Solution

The fourth proportional to 82.78, 123.58 and 75.94 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 123.58 = 75.94 : x
  2. Step 2: Convert to fraction form
    82.78/123.58 = 75.94/x
  3. Step 3: Cross multiply
    82.78x = 123.58 × 75.94
  4. Step 4: Simplify right side
    82.78x = 9,384.67
  5. Step 5: Solve for x
    x = 9,384.67/82.78
  6. Step 6: Final answer
    x = 113.37

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