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Finding the Fourth Proportional to 109.54, 164.36 and 45.46

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Solution

The fourth proportional to 109.54, 164.36 and 45.46 is: 68.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 164.36 = 45.46 : x
  2. Step 2: Convert to fraction form
    109.54/164.36 = 45.46/x
  3. Step 3: Cross multiply
    109.54x = 164.36 × 45.46
  4. Step 4: Simplify right side
    109.54x = 7,471.81
  5. Step 5: Solve for x
    x = 7,471.81/109.54
  6. Step 6: Final answer
    x = 68.21

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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.