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Finding the Fourth Proportional to 89.48, 134.19 and 38.09

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Solution

The fourth proportional to 89.48, 134.19 and 38.09 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.48 : 134.19 = 38.09 : x
  2. Step 2: Convert to fraction form
    89.48/134.19 = 38.09/x
  3. Step 3: Cross multiply
    89.48x = 134.19 × 38.09
  4. Step 4: Simplify right side
    89.48x = 5,111.30
  5. Step 5: Solve for x
    x = 5,111.30/89.48
  6. Step 6: Final answer
    x = 57.13

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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.