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Finding the Fourth Proportional to 107.23, 161.13 and 66.70

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Solution

The fourth proportional to 107.23, 161.13 and 66.70 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.23 : 161.13 = 66.70 : x
  2. Step 2: Convert to fraction form
    107.23/161.13 = 66.70/x
  3. Step 3: Cross multiply
    107.23x = 161.13 × 66.70
  4. Step 4: Simplify right side
    107.23x = 10,747.37
  5. Step 5: Solve for x
    x = 10,747.37/107.23
  6. Step 6: Final answer
    x = 100.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.