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Finding the Fourth Proportional to 163.77, 225.90 and 114.63

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Solution

The fourth proportional to 163.77, 225.90 and 114.63 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 225.90 = 114.63 : x
  2. Step 2: Convert to fraction form
    163.77/225.90 = 114.63/x
  3. Step 3: Cross multiply
    163.77x = 225.90 × 114.63
  4. Step 4: Simplify right side
    163.77x = 25,894.92
  5. Step 5: Solve for x
    x = 25,894.92/163.77
  6. Step 6: Final answer
    x = 158.12

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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.