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Finding the Fourth Proportional to 89.21, 122.88 and 75.39

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Solution

The fourth proportional to 89.21, 122.88 and 75.39 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.21 : 122.88 = 75.39 : x
  2. Step 2: Convert to fraction form
    89.21/122.88 = 75.39/x
  3. Step 3: Cross multiply
    89.21x = 122.88 × 75.39
  4. Step 4: Simplify right side
    89.21x = 9,263.75
  5. Step 5: Solve for x
    x = 9,263.75/89.21
  6. Step 6: Final answer
    x = 103.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.