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Finding the Fourth Proportional to 109.22, 164.48 and 79.00

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Solution

The fourth proportional to 109.22, 164.48 and 79.00 is: 118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.22 : 164.48 = 79.00 : x
  2. Step 2: Convert to fraction form
    109.22/164.48 = 79.00/x
  3. Step 3: Cross multiply
    109.22x = 164.48 × 79.00
  4. Step 4: Simplify right side
    109.22x = 12,993.11
  5. Step 5: Solve for x
    x = 12,993.11/109.22
  6. Step 6: Final answer
    x = 118.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.