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Finding the Fourth Proportional to 89.35, 133.91 and 82.06

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Solution

The fourth proportional to 89.35, 133.91 and 82.06 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.35 : 133.91 = 82.06 : x
  2. Step 2: Convert to fraction form
    89.35/133.91 = 82.06/x
  3. Step 3: Cross multiply
    89.35x = 133.91 × 82.06
  4. Step 4: Simplify right side
    89.35x = 10,987.91
  5. Step 5: Solve for x
    x = 10,987.91/89.35
  6. Step 6: Final answer
    x = 122.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.