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Finding the Fourth Proportional to 134.01, 200.91 and 52.80

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Solution

The fourth proportional to 134.01, 200.91 and 52.80 is: 79.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.01 : 200.91 = 52.80 : x
  2. Step 2: Convert to fraction form
    134.01/200.91 = 52.80/x
  3. Step 3: Cross multiply
    134.01x = 200.91 × 52.80
  4. Step 4: Simplify right side
    134.01x = 10,608.05
  5. Step 5: Solve for x
    x = 10,608.05/134.01
  6. Step 6: Final answer
    x = 79.16

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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.