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Finding the Fourth Proportional to 109.97, 164.92 and 49.08

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Solution

The fourth proportional to 109.97, 164.92 and 49.08 is: 73.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 164.92 = 49.08 : x
  2. Step 2: Convert to fraction form
    109.97/164.92 = 49.08/x
  3. Step 3: Cross multiply
    109.97x = 164.92 × 49.08
  4. Step 4: Simplify right side
    109.97x = 8,094.27
  5. Step 5: Solve for x
    x = 8,094.27/109.97
  6. Step 6: Final answer
    x = 73.60

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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.