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Finding the Fourth Proportional to 88.94, 133.66 and 83.09

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Solution

The fourth proportional to 88.94, 133.66 and 83.09 is: 124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 133.66 = 83.09 : x
  2. Step 2: Convert to fraction form
    88.94/133.66 = 83.09/x
  3. Step 3: Cross multiply
    88.94x = 133.66 × 83.09
  4. Step 4: Simplify right side
    88.94x = 11,105.81
  5. Step 5: Solve for x
    x = 11,105.81/88.94
  6. Step 6: Final answer
    x = 124.87

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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.