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Finding the Fourth Proportional to 119.92, 165.72 and 97.75

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Solution

The fourth proportional to 119.92, 165.72 and 97.75 is: 135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.92 : 165.72 = 97.75 : x
  2. Step 2: Convert to fraction form
    119.92/165.72 = 97.75/x
  3. Step 3: Cross multiply
    119.92x = 165.72 × 97.75
  4. Step 4: Simplify right side
    119.92x = 16,199.13
  5. Step 5: Solve for x
    x = 16,199.13/119.92
  6. Step 6: Final answer
    x = 135.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.