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Finding the Fourth Proportional to 109.72, 163.73 and 97.60

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Solution

The fourth proportional to 109.72, 163.73 and 97.60 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.72 : 163.73 = 97.60 : x
  2. Step 2: Convert to fraction form
    109.72/163.73 = 97.60/x
  3. Step 3: Cross multiply
    109.72x = 163.73 × 97.60
  4. Step 4: Simplify right side
    109.72x = 15,980.05
  5. Step 5: Solve for x
    x = 15,980.05/109.72
  6. Step 6: Final answer
    x = 145.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.