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Finding the Fourth Proportional to 107.91, 161.87 and 62.19

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Solution

The fourth proportional to 107.91, 161.87 and 62.19 is: 93.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 161.87 = 62.19 : x
  2. Step 2: Convert to fraction form
    107.91/161.87 = 62.19/x
  3. Step 3: Cross multiply
    107.91x = 161.87 × 62.19
  4. Step 4: Simplify right side
    107.91x = 10,066.38
  5. Step 5: Solve for x
    x = 10,066.38/107.91
  6. Step 6: Final answer
    x = 93.29

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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.