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Finding the Fourth Proportional to 88.36, 131.97 and 76.21

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Solution

The fourth proportional to 88.36, 131.97 and 76.21 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.36 : 131.97 = 76.21 : x
  2. Step 2: Convert to fraction form
    88.36/131.97 = 76.21/x
  3. Step 3: Cross multiply
    88.36x = 131.97 × 76.21
  4. Step 4: Simplify right side
    88.36x = 10,057.17
  5. Step 5: Solve for x
    x = 10,057.17/88.36
  6. Step 6: Final answer
    x = 113.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.