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Finding the Fourth Proportional to 109.16, 163.50 and 54.95

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Solution

The fourth proportional to 109.16, 163.50 and 54.95 is: 82.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 163.50 = 54.95 : x
  2. Step 2: Convert to fraction form
    109.16/163.50 = 54.95/x
  3. Step 3: Cross multiply
    109.16x = 163.50 × 54.95
  4. Step 4: Simplify right side
    109.16x = 8,983.51
  5. Step 5: Solve for x
    x = 8,983.51/109.16
  6. Step 6: Final answer
    x = 82.30

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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.