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Finding the Fourth Proportional to 131.84, 181.96 and 79.38

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Solution

The fourth proportional to 131.84, 181.96 and 79.38 is: 109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 181.96 = 79.38 : x
  2. Step 2: Convert to fraction form
    131.84/181.96 = 79.38/x
  3. Step 3: Cross multiply
    131.84x = 181.96 × 79.38
  4. Step 4: Simplify right side
    131.84x = 14,443.98
  5. Step 5: Solve for x
    x = 14,443.98/131.84
  6. Step 6: Final answer
    x = 109.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.