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Finding the Fourth Proportional to 108.63, 163.71 and 90.77

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Solution

The fourth proportional to 108.63, 163.71 and 90.77 is: 136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 163.71 = 90.77 : x
  2. Step 2: Convert to fraction form
    108.63/163.71 = 90.77/x
  3. Step 3: Cross multiply
    108.63x = 163.71 × 90.77
  4. Step 4: Simplify right side
    108.63x = 14,859.14
  5. Step 5: Solve for x
    x = 14,859.14/108.63
  6. Step 6: Final answer
    x = 136.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.