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Finding the Fourth Proportional to 107, 160.46 and 46.09

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Solution

The fourth proportional to 107, 160.46 and 46.09 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 160.46 = 46.09 : x
  2. Step 2: Convert to fraction form
    107/160.46 = 46.09/x
  3. Step 3: Cross multiply
    107x = 160.46 × 46.09
  4. Step 4: Simplify right side
    107x = 7,395.60
  5. Step 5: Solve for x
    x = 7,395.60/107
  6. Step 6: Final answer
    x = 69.12

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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.