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Finding the Fourth Proportional to 146.55, 201.81 and 118.71

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Solution

The fourth proportional to 146.55, 201.81 and 118.71 is: 163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.55 : 201.81 = 118.71 : x
  2. Step 2: Convert to fraction form
    146.55/201.81 = 118.71/x
  3. Step 3: Cross multiply
    146.55x = 201.81 × 118.71
  4. Step 4: Simplify right side
    146.55x = 23,956.87
  5. Step 5: Solve for x
    x = 23,956.87/146.55
  6. Step 6: Final answer
    x = 163.47

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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.