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Finding the Fourth Proportional to 119.77, 165.28 and 68.02

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Solution

The fourth proportional to 119.77, 165.28 and 68.02 is: 93.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.77 : 165.28 = 68.02 : x
  2. Step 2: Convert to fraction form
    119.77/165.28 = 68.02/x
  3. Step 3: Cross multiply
    119.77x = 165.28 × 68.02
  4. Step 4: Simplify right side
    119.77x = 11,242.35
  5. Step 5: Solve for x
    x = 11,242.35/119.77
  6. Step 6: Final answer
    x = 93.87

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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.