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Finding the Fourth Proportional to 120.16, 165.82 and 68.42

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Solution

The fourth proportional to 120.16, 165.82 and 68.42 is: 94.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 165.82 = 68.42 : x
  2. Step 2: Convert to fraction form
    120.16/165.82 = 68.42/x
  3. Step 3: Cross multiply
    120.16x = 165.82 × 68.42
  4. Step 4: Simplify right side
    120.16x = 11,345.40
  5. Step 5: Solve for x
    x = 11,345.40/120.16
  6. Step 6: Final answer
    x = 94.42

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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.