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Finding the Fourth Proportional to 107.17, 160.82 and 72.87

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Solution

The fourth proportional to 107.17, 160.82 and 72.87 is: 109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 160.82 = 72.87 : x
  2. Step 2: Convert to fraction form
    107.17/160.82 = 72.87/x
  3. Step 3: Cross multiply
    107.17x = 160.82 × 72.87
  4. Step 4: Simplify right side
    107.17x = 11,718.05
  5. Step 5: Solve for x
    x = 11,718.05/107.17
  6. Step 6: Final answer
    x = 109.34

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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.