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Finding the Fourth Proportional to 134.05, 201.06 and 42.80

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Solution

The fourth proportional to 134.05, 201.06 and 42.80 is: 64.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.05 : 201.06 = 42.80 : x
  2. Step 2: Convert to fraction form
    134.05/201.06 = 42.80/x
  3. Step 3: Cross multiply
    134.05x = 201.06 × 42.80
  4. Step 4: Simplify right side
    134.05x = 8,605.94
  5. Step 5: Solve for x
    x = 8,605.94/134.05
  6. Step 6: Final answer
    x = 64.20

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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.