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Finding the Fourth Proportional to 134.19, 201.39 and 53.09

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Solution

The fourth proportional to 134.19, 201.39 and 53.09 is: 79.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.19 : 201.39 = 53.09 : x
  2. Step 2: Convert to fraction form
    134.19/201.39 = 53.09/x
  3. Step 3: Cross multiply
    134.19x = 201.39 × 53.09
  4. Step 4: Simplify right side
    134.19x = 10,691.34
  5. Step 5: Solve for x
    x = 10,691.34/134.19
  6. Step 6: Final answer
    x = 79.67

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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.