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Finding the Fourth Proportional to 107.37, 160.95 and 71.22

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Solution

The fourth proportional to 107.37, 160.95 and 71.22 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 160.95 = 71.22 : x
  2. Step 2: Convert to fraction form
    107.37/160.95 = 71.22/x
  3. Step 3: Cross multiply
    107.37x = 160.95 × 71.22
  4. Step 4: Simplify right side
    107.37x = 11,462.86
  5. Step 5: Solve for x
    x = 11,462.86/107.37
  6. Step 6: Final answer
    x = 106.76

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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.