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Finding the Fourth Proportional to 107.76, 162.42 and 96

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Solution

The fourth proportional to 107.76, 162.42 and 96 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 162.42 = 96 : x
  2. Step 2: Convert to fraction form
    107.76/162.42 = 96/x
  3. Step 3: Cross multiply
    107.76x = 162.42 × 96
  4. Step 4: Simplify right side
    107.76x = 15,592.32
  5. Step 5: Solve for x
    x = 15,592.32/107.76
  6. Step 6: Final answer
    x = 144.69

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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.