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Finding the Fourth Proportional to 89.13, 133.67 and 28.24

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Solution

The fourth proportional to 89.13, 133.67 and 28.24 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.13 : 133.67 = 28.24 : x
  2. Step 2: Convert to fraction form
    89.13/133.67 = 28.24/x
  3. Step 3: Cross multiply
    89.13x = 133.67 × 28.24
  4. Step 4: Simplify right side
    89.13x = 3,775.36
  5. Step 5: Solve for x
    x = 3,775.36/89.13
  6. Step 6: Final answer
    x = 42.36

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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.