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Finding the Fourth Proportional to 79.66, 109.86 and 61.22

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Solution

The fourth proportional to 79.66, 109.86 and 61.22 is: 84.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.66 : 109.86 = 61.22 : x
  2. Step 2: Convert to fraction form
    79.66/109.86 = 61.22/x
  3. Step 3: Cross multiply
    79.66x = 109.86 × 61.22
  4. Step 4: Simplify right side
    79.66x = 6,725.63
  5. Step 5: Solve for x
    x = 6,725.63/79.66
  6. Step 6: Final answer
    x = 84.43

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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.