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Finding the Fourth Proportional to 89.67, 134.41 and 32.63

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Solution

The fourth proportional to 89.67, 134.41 and 32.63 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.67 : 134.41 = 32.63 : x
  2. Step 2: Convert to fraction form
    89.67/134.41 = 32.63/x
  3. Step 3: Cross multiply
    89.67x = 134.41 × 32.63
  4. Step 4: Simplify right side
    89.67x = 4,385.80
  5. Step 5: Solve for x
    x = 4,385.80/89.67
  6. Step 6: Final answer
    x = 48.91

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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.