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Finding the Fourth Proportional to 109.45, 164.48 and 79.18

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Solution

The fourth proportional to 109.45, 164.48 and 79.18 is: 118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 164.48 = 79.18 : x
  2. Step 2: Convert to fraction form
    109.45/164.48 = 79.18/x
  3. Step 3: Cross multiply
    109.45x = 164.48 × 79.18
  4. Step 4: Simplify right side
    109.45x = 13,023.13
  5. Step 5: Solve for x
    x = 13,023.13/109.45
  6. Step 6: Final answer
    x = 118.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.