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Finding the Fourth Proportional to 69.05, 94.89 and 65.88

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Solution

The fourth proportional to 69.05, 94.89 and 65.88 is: 90.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 94.89 = 65.88 : x
  2. Step 2: Convert to fraction form
    69.05/94.89 = 65.88/x
  3. Step 3: Cross multiply
    69.05x = 94.89 × 65.88
  4. Step 4: Simplify right side
    69.05x = 6,251.35
  5. Step 5: Solve for x
    x = 6,251.35/69.05
  6. Step 6: Final answer
    x = 90.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.