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Finding the Fourth Proportional to 109.13, 163.69 and 37.00

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Solution

The fourth proportional to 109.13, 163.69 and 37.00 is: 55.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 163.69 = 37.00 : x
  2. Step 2: Convert to fraction form
    109.13/163.69 = 37.00/x
  3. Step 3: Cross multiply
    109.13x = 163.69 × 37.00
  4. Step 4: Simplify right side
    109.13x = 6,056.64
  5. Step 5: Solve for x
    x = 6,056.64/109.13
  6. Step 6: Final answer
    x = 55.50

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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.