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Finding the Fourth Proportional to 119.99, 164.72 and 116.97

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Solution

The fourth proportional to 119.99, 164.72 and 116.97 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 164.72 = 116.97 : x
  2. Step 2: Convert to fraction form
    119.99/164.72 = 116.97/x
  3. Step 3: Cross multiply
    119.99x = 164.72 × 116.97
  4. Step 4: Simplify right side
    119.99x = 19,267.30
  5. Step 5: Solve for x
    x = 19,267.30/119.99
  6. Step 6: Final answer
    x = 160.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.