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Finding the Fourth Proportional to 88.05, 131.82 and 65.33

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Solution

The fourth proportional to 88.05, 131.82 and 65.33 is: 97.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.05 : 131.82 = 65.33 : x
  2. Step 2: Convert to fraction form
    88.05/131.82 = 65.33/x
  3. Step 3: Cross multiply
    88.05x = 131.82 × 65.33
  4. Step 4: Simplify right side
    88.05x = 8,611.80
  5. Step 5: Solve for x
    x = 8,611.80/88.05
  6. Step 6: Final answer
    x = 97.81

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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.