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Finding the Fourth Proportional to 127.42, 191.10 and 36.09

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Solution

The fourth proportional to 127.42, 191.10 and 36.09 is: 54.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 191.10 = 36.09 : x
  2. Step 2: Convert to fraction form
    127.42/191.10 = 36.09/x
  3. Step 3: Cross multiply
    127.42x = 191.10 × 36.09
  4. Step 4: Simplify right side
    127.42x = 6,896.80
  5. Step 5: Solve for x
    x = 6,896.80/127.42
  6. Step 6: Final answer
    x = 54.13

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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.