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Finding the Fourth Proportional to 118.64, 163.74 and 72.02

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Solution

The fourth proportional to 118.64, 163.74 and 72.02 is: 99.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 163.74 = 72.02 : x
  2. Step 2: Convert to fraction form
    118.64/163.74 = 72.02/x
  3. Step 3: Cross multiply
    118.64x = 163.74 × 72.02
  4. Step 4: Simplify right side
    118.64x = 11,791.74
  5. Step 5: Solve for x
    x = 11,791.74/118.64
  6. Step 6: Final answer
    x = 99.40

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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.