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Finding the Fourth Proportional to 92.20, 137.42 and 82.58

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Solution

The fourth proportional to 92.20, 137.42 and 82.58 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.20 : 137.42 = 82.58 : x
  2. Step 2: Convert to fraction form
    92.20/137.42 = 82.58/x
  3. Step 3: Cross multiply
    92.20x = 137.42 × 82.58
  4. Step 4: Simplify right side
    92.20x = 11,348.14
  5. Step 5: Solve for x
    x = 11,348.14/92.20
  6. Step 6: Final answer
    x = 123.08

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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.