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Finding the Fourth Proportional to 89.77, 134.62 and 38.41

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Solution

The fourth proportional to 89.77, 134.62 and 38.41 is: 57.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.77 : 134.62 = 38.41 : x
  2. Step 2: Convert to fraction form
    89.77/134.62 = 38.41/x
  3. Step 3: Cross multiply
    89.77x = 134.62 × 38.41
  4. Step 4: Simplify right side
    89.77x = 5,170.75
  5. Step 5: Solve for x
    x = 5,170.75/89.77
  6. Step 6: Final answer
    x = 57.60

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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.