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Finding the Fourth Proportional to 126.64, 175.63 and 118.72

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Solution

The fourth proportional to 126.64, 175.63 and 118.72 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 175.63 = 118.72 : x
  2. Step 2: Convert to fraction form
    126.64/175.63 = 118.72/x
  3. Step 3: Cross multiply
    126.64x = 175.63 × 118.72
  4. Step 4: Simplify right side
    126.64x = 20,850.79
  5. Step 5: Solve for x
    x = 20,850.79/126.64
  6. Step 6: Final answer
    x = 164.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.