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Finding the Fourth Proportional to 107.88, 162.14 and 50.92

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Solution

The fourth proportional to 107.88, 162.14 and 50.92 is: 76.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 162.14 = 50.92 : x
  2. Step 2: Convert to fraction form
    107.88/162.14 = 50.92/x
  3. Step 3: Cross multiply
    107.88x = 162.14 × 50.92
  4. Step 4: Simplify right side
    107.88x = 8,256.17
  5. Step 5: Solve for x
    x = 8,256.17/107.88
  6. Step 6: Final answer
    x = 76.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.