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Finding the Fourth Proportional to 109.99, 164.92 and 41.50

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Solution

The fourth proportional to 109.99, 164.92 and 41.50 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.99 : 164.92 = 41.50 : x
  2. Step 2: Convert to fraction form
    109.99/164.92 = 41.50/x
  3. Step 3: Cross multiply
    109.99x = 164.92 × 41.50
  4. Step 4: Simplify right side
    109.99x = 6,843.43
  5. Step 5: Solve for x
    x = 6,843.43/109.99
  6. Step 6: Final answer
    x = 62.22

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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.