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Finding the Fourth Proportional to 132.14, 199.45 and 132.14

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Solution

The fourth proportional to 132.14, 199.45 and 132.14 is: 199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 199.45 = 132.14 : x
  2. Step 2: Convert to fraction form
    132.14/199.45 = 132.14/x
  3. Step 3: Cross multiply
    132.14x = 199.45 × 132.14
  4. Step 4: Simplify right side
    132.14x = 26,354.66
  5. Step 5: Solve for x
    x = 26,354.66/132.14
  6. Step 6: Final answer
    x = 199.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.