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Finding the Fourth Proportional to 89.45, 134.09 and 38.06

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Solution

The fourth proportional to 89.45, 134.09 and 38.06 is: 57.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 134.09 = 38.06 : x
  2. Step 2: Convert to fraction form
    89.45/134.09 = 38.06/x
  3. Step 3: Cross multiply
    89.45x = 134.09 × 38.06
  4. Step 4: Simplify right side
    89.45x = 5,103.25
  5. Step 5: Solve for x
    x = 5,103.25/89.45
  6. Step 6: Final answer
    x = 57.05

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Why These Related Problems?

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