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Finding the Fourth Proportional to 119.84, 165.34 and 82.98

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Solution

The fourth proportional to 119.84, 165.34 and 82.98 is: 114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.84 : 165.34 = 82.98 : x
  2. Step 2: Convert to fraction form
    119.84/165.34 = 82.98/x
  3. Step 3: Cross multiply
    119.84x = 165.34 × 82.98
  4. Step 4: Simplify right side
    119.84x = 13,719.91
  5. Step 5: Solve for x
    x = 13,719.91/119.84
  6. Step 6: Final answer
    x = 114.49

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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.