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Finding the Fourth Proportional to 109.85, 164.82 and 61.04

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Solution

The fourth proportional to 109.85, 164.82 and 61.04 is: 91.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.85 : 164.82 = 61.04 : x
  2. Step 2: Convert to fraction form
    109.85/164.82 = 61.04/x
  3. Step 3: Cross multiply
    109.85x = 164.82 × 61.04
  4. Step 4: Simplify right side
    109.85x = 10,059.48
  5. Step 5: Solve for x
    x = 10,059.48/109.85
  6. Step 6: Final answer
    x = 91.57

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Why These Related Problems?

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