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Finding the Fourth Proportional to 107.84, 161.67 and 46.92

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Solution

The fourth proportional to 107.84, 161.67 and 46.92 is: 70.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 161.67 = 46.92 : x
  2. Step 2: Convert to fraction form
    107.84/161.67 = 46.92/x
  3. Step 3: Cross multiply
    107.84x = 161.67 × 46.92
  4. Step 4: Simplify right side
    107.84x = 7,585.99
  5. Step 5: Solve for x
    x = 7,585.99/107.84
  6. Step 6: Final answer
    x = 70.35

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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.