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Finding the Fourth Proportional to 79.12, 109.20 and 61.84

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Solution

The fourth proportional to 79.12, 109.20 and 61.84 is: 85.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.12 : 109.20 = 61.84 : x
  2. Step 2: Convert to fraction form
    79.12/109.20 = 61.84/x
  3. Step 3: Cross multiply
    79.12x = 109.20 × 61.84
  4. Step 4: Simplify right side
    79.12x = 6,752.93
  5. Step 5: Solve for x
    x = 6,752.93/79.12
  6. Step 6: Final answer
    x = 85.35

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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.