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Finding the Fourth Proportional to 131.84, 197.78 and 97.82

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Solution

The fourth proportional to 131.84, 197.78 and 97.82 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 197.78 = 97.82 : x
  2. Step 2: Convert to fraction form
    131.84/197.78 = 97.82/x
  3. Step 3: Cross multiply
    131.84x = 197.78 × 97.82
  4. Step 4: Simplify right side
    131.84x = 19,346.84
  5. Step 5: Solve for x
    x = 19,346.84/131.84
  6. Step 6: Final answer
    x = 146.74

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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.