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Finding the Fourth Proportional to 120, 165.66 and 76.38

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Solution

The fourth proportional to 120, 165.66 and 76.38 is: 105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.66 = 76.38 : x
  2. Step 2: Convert to fraction form
    120/165.66 = 76.38/x
  3. Step 3: Cross multiply
    120x = 165.66 × 76.38
  4. Step 4: Simplify right side
    120x = 12,653.11
  5. Step 5: Solve for x
    x = 12,653.11/120
  6. Step 6: Final answer
    x = 105.44

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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.