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Finding the Fourth Proportional to 134.25, 201.41 and 97.67

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Solution

The fourth proportional to 134.25, 201.41 and 97.67 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 201.41 = 97.67 : x
  2. Step 2: Convert to fraction form
    134.25/201.41 = 97.67/x
  3. Step 3: Cross multiply
    134.25x = 201.41 × 97.67
  4. Step 4: Simplify right side
    134.25x = 19,670.22
  5. Step 5: Solve for x
    x = 19,670.22/134.25
  6. Step 6: Final answer
    x = 146.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.