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Finding the Fourth Proportional to 89.04, 133.21 and 76.75

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Solution

The fourth proportional to 89.04, 133.21 and 76.75 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 133.21 = 76.75 : x
  2. Step 2: Convert to fraction form
    89.04/133.21 = 76.75/x
  3. Step 3: Cross multiply
    89.04x = 133.21 × 76.75
  4. Step 4: Simplify right side
    89.04x = 10,223.87
  5. Step 5: Solve for x
    x = 10,223.87/89.04
  6. Step 6: Final answer
    x = 114.82

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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.