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Finding the Fourth Proportional to 132.21, 196.74 and 130.14

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Solution

The fourth proportional to 132.21, 196.74 and 130.14 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 196.74 = 130.14 : x
  2. Step 2: Convert to fraction form
    132.21/196.74 = 130.14/x
  3. Step 3: Cross multiply
    132.21x = 196.74 × 130.14
  4. Step 4: Simplify right side
    132.21x = 25,603.74
  5. Step 5: Solve for x
    x = 25,603.74/132.21
  6. Step 6: Final answer
    x = 193.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.