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Finding the Fourth Proportional to 118.64, 163.86 and 94.16

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Solution

The fourth proportional to 118.64, 163.86 and 94.16 is: 130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 163.86 = 94.16 : x
  2. Step 2: Convert to fraction form
    118.64/163.86 = 94.16/x
  3. Step 3: Cross multiply
    118.64x = 163.86 × 94.16
  4. Step 4: Simplify right side
    118.64x = 15,429.06
  5. Step 5: Solve for x
    x = 15,429.06/118.64
  6. Step 6: Final answer
    x = 130.05

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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.