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Finding the Fourth Proportional to 163.75, 225.99 and 101.55

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Solution

The fourth proportional to 163.75, 225.99 and 101.55 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.75 : 225.99 = 101.55 : x
  2. Step 2: Convert to fraction form
    163.75/225.99 = 101.55/x
  3. Step 3: Cross multiply
    163.75x = 225.99 × 101.55
  4. Step 4: Simplify right side
    163.75x = 22,950.13
  5. Step 5: Solve for x
    x = 22,950.13/163.75
  6. Step 6: Final answer
    x = 140.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.