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Finding the Fourth Proportional to 145.56, 217.74 and 108.97

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Solution

The fourth proportional to 145.56, 217.74 and 108.97 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 217.74 = 108.97 : x
  2. Step 2: Convert to fraction form
    145.56/217.74 = 108.97/x
  3. Step 3: Cross multiply
    145.56x = 217.74 × 108.97
  4. Step 4: Simplify right side
    145.56x = 23,727.13
  5. Step 5: Solve for x
    x = 23,727.13/145.56
  6. Step 6: Final answer
    x = 163.01

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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.