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Finding the Fourth Proportional to 107.87, 162.41 and 95.11

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Solution

The fourth proportional to 107.87, 162.41 and 95.11 is: 143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 162.41 = 95.11 : x
  2. Step 2: Convert to fraction form
    107.87/162.41 = 95.11/x
  3. Step 3: Cross multiply
    107.87x = 162.41 × 95.11
  4. Step 4: Simplify right side
    107.87x = 15,445.53
  5. Step 5: Solve for x
    x = 15,445.53/107.87
  6. Step 6: Final answer
    x = 143.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.