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Finding the Fourth Proportional to 129.82, 178.98 and 83.11

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Solution

The fourth proportional to 129.82, 178.98 and 83.11 is: 114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.82 : 178.98 = 83.11 : x
  2. Step 2: Convert to fraction form
    129.82/178.98 = 83.11/x
  3. Step 3: Cross multiply
    129.82x = 178.98 × 83.11
  4. Step 4: Simplify right side
    129.82x = 14,875.03
  5. Step 5: Solve for x
    x = 14,875.03/129.82
  6. Step 6: Final answer
    x = 114.59

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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.