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Finding the Fourth Proportional to 109.82, 164.71 and 45.70

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Solution

The fourth proportional to 109.82, 164.71 and 45.70 is: 68.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 164.71 = 45.70 : x
  2. Step 2: Convert to fraction form
    109.82/164.71 = 45.70/x
  3. Step 3: Cross multiply
    109.82x = 164.71 × 45.70
  4. Step 4: Simplify right side
    109.82x = 7,527.25
  5. Step 5: Solve for x
    x = 7,527.25/109.82
  6. Step 6: Final answer
    x = 68.54

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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.