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Finding the Fourth Proportional to 163.68, 225.95 and 101.49

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Solution

The fourth proportional to 163.68, 225.95 and 101.49 is: 140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.68 : 225.95 = 101.49 : x
  2. Step 2: Convert to fraction form
    163.68/225.95 = 101.49/x
  3. Step 3: Cross multiply
    163.68x = 225.95 × 101.49
  4. Step 4: Simplify right side
    163.68x = 22,931.16
  5. Step 5: Solve for x
    x = 22,931.16/163.68
  6. Step 6: Final answer
    x = 140.10

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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.