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Finding the Fourth Proportional to 118.12, 163.00 and 65.66

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Solution

The fourth proportional to 118.12, 163.00 and 65.66 is: 90.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.12 : 163.00 = 65.66 : x
  2. Step 2: Convert to fraction form
    118.12/163.00 = 65.66/x
  3. Step 3: Cross multiply
    118.12x = 163.00 × 65.66
  4. Step 4: Simplify right side
    118.12x = 10,703.31
  5. Step 5: Solve for x
    x = 10,703.31/118.12
  6. Step 6: Final answer
    x = 90.61

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Why These Related Problems?

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