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Finding the Fourth Proportional to 119.98, 166.72 and 118.45

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Solution

The fourth proportional to 119.98, 166.72 and 118.45 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.98 : 166.72 = 118.45 : x
  2. Step 2: Convert to fraction form
    119.98/166.72 = 118.45/x
  3. Step 3: Cross multiply
    119.98x = 166.72 × 118.45
  4. Step 4: Simplify right side
    119.98x = 19,747.98
  5. Step 5: Solve for x
    x = 19,747.98/119.98
  6. Step 6: Final answer
    x = 164.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.