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Finding the Fourth Proportional to 118.23, 163.16 and 65.78

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Solution

The fourth proportional to 118.23, 163.16 and 65.78 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 163.16 = 65.78 : x
  2. Step 2: Convert to fraction form
    118.23/163.16 = 65.78/x
  3. Step 3: Cross multiply
    118.23x = 163.16 × 65.78
  4. Step 4: Simplify right side
    118.23x = 10,731.52
  5. Step 5: Solve for x
    x = 10,731.52/118.23
  6. Step 6: Final answer
    x = 90.77

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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.