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Finding the Fourth Proportional to 89.84, 134.64 and 83.42

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Solution

The fourth proportional to 89.84, 134.64 and 83.42 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.84 : 134.64 = 83.42 : x
  2. Step 2: Convert to fraction form
    89.84/134.64 = 83.42/x
  3. Step 3: Cross multiply
    89.84x = 134.64 × 83.42
  4. Step 4: Simplify right side
    89.84x = 11,231.67
  5. Step 5: Solve for x
    x = 11,231.67/89.84
  6. Step 6: Final answer
    x = 125.02

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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.