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Finding the Fourth Proportional to 107.12, 160.76 and 105.52

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Solution

The fourth proportional to 107.12, 160.76 and 105.52 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 160.76 = 105.52 : x
  2. Step 2: Convert to fraction form
    107.12/160.76 = 105.52/x
  3. Step 3: Cross multiply
    107.12x = 160.76 × 105.52
  4. Step 4: Simplify right side
    107.12x = 16,963.40
  5. Step 5: Solve for x
    x = 16,963.40/107.12
  6. Step 6: Final answer
    x = 158.36

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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.