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Finding the Fourth Proportional to 134.10, 201.14 and 99.92

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Solution

The fourth proportional to 134.10, 201.14 and 99.92 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.10 : 201.14 = 99.92 : x
  2. Step 2: Convert to fraction form
    134.10/201.14 = 99.92/x
  3. Step 3: Cross multiply
    134.10x = 201.14 × 99.92
  4. Step 4: Simplify right side
    134.10x = 20,096.40
  5. Step 5: Solve for x
    x = 20,096.40/134.10
  6. Step 6: Final answer
    x = 149.86

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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.