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Finding the Fourth Proportional to 89.06, 132.71 and 83.81

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Solution

The fourth proportional to 89.06, 132.71 and 83.81 is: 124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 132.71 = 83.81 : x
  2. Step 2: Convert to fraction form
    89.06/132.71 = 83.81/x
  3. Step 3: Cross multiply
    89.06x = 132.71 × 83.81
  4. Step 4: Simplify right side
    89.06x = 11,122.34
  5. Step 5: Solve for x
    x = 11,122.34/89.06
  6. Step 6: Final answer
    x = 124.89

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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.