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Finding the Fourth Proportional to 119.17, 164.47 and 82.35

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Solution

The fourth proportional to 119.17, 164.47 and 82.35 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.17 : 164.47 = 82.35 : x
  2. Step 2: Convert to fraction form
    119.17/164.47 = 82.35/x
  3. Step 3: Cross multiply
    119.17x = 164.47 × 82.35
  4. Step 4: Simplify right side
    119.17x = 13,544.10
  5. Step 5: Solve for x
    x = 13,544.10/119.17
  6. Step 6: Final answer
    x = 113.65

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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.