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Finding the Fourth Proportional to 134.52, 201.74 and 52.24

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Solution

The fourth proportional to 134.52, 201.74 and 52.24 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.52 : 201.74 = 52.24 : x
  2. Step 2: Convert to fraction form
    134.52/201.74 = 52.24/x
  3. Step 3: Cross multiply
    134.52x = 201.74 × 52.24
  4. Step 4: Simplify right side
    134.52x = 10,538.52
  5. Step 5: Solve for x
    x = 10,538.52/134.52
  6. Step 6: Final answer
    x = 78.34

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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.