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Finding the Fourth Proportional to 107.34, 160.86 and 53.22

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Solution

The fourth proportional to 107.34, 160.86 and 53.22 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 160.86 = 53.22 : x
  2. Step 2: Convert to fraction form
    107.34/160.86 = 53.22/x
  3. Step 3: Cross multiply
    107.34x = 160.86 × 53.22
  4. Step 4: Simplify right side
    107.34x = 8,560.97
  5. Step 5: Solve for x
    x = 8,560.97/107.34
  6. Step 6: Final answer
    x = 79.76

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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.