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Finding the Fourth Proportional to 89.20, 133.60 and 65.08

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Solution

The fourth proportional to 89.20, 133.60 and 65.08 is: 97.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.20 : 133.60 = 65.08 : x
  2. Step 2: Convert to fraction form
    89.20/133.60 = 65.08/x
  3. Step 3: Cross multiply
    89.20x = 133.60 × 65.08
  4. Step 4: Simplify right side
    89.20x = 8,694.69
  5. Step 5: Solve for x
    x = 8,694.69/89.20
  6. Step 6: Final answer
    x = 97.47

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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.