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Finding the Fourth Proportional to 120.61, 166.46 and 79.28

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Solution

The fourth proportional to 120.61, 166.46 and 79.28 is: 109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.61 : 166.46 = 79.28 : x
  2. Step 2: Convert to fraction form
    120.61/166.46 = 79.28/x
  3. Step 3: Cross multiply
    120.61x = 166.46 × 79.28
  4. Step 4: Simplify right side
    120.61x = 13,196.34
  5. Step 5: Solve for x
    x = 13,196.34/120.61
  6. Step 6: Final answer
    x = 109.41

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