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Finding the Fourth Proportional to 107.31, 160.04 and 105.39

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Solution

The fourth proportional to 107.31, 160.04 and 105.39 is: 157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 160.04 = 105.39 : x
  2. Step 2: Convert to fraction form
    107.31/160.04 = 105.39/x
  3. Step 3: Cross multiply
    107.31x = 160.04 × 105.39
  4. Step 4: Simplify right side
    107.31x = 16,866.62
  5. Step 5: Solve for x
    x = 16,866.62/107.31
  6. Step 6: Final answer
    x = 157.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.