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Finding the Fourth Proportional to 127.56, 191.30 and 109.48

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Solution

The fourth proportional to 127.56, 191.30 and 109.48 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.56 : 191.30 = 109.48 : x
  2. Step 2: Convert to fraction form
    127.56/191.30 = 109.48/x
  3. Step 3: Cross multiply
    127.56x = 191.30 × 109.48
  4. Step 4: Simplify right side
    127.56x = 20,943.52
  5. Step 5: Solve for x
    x = 20,943.52/127.56
  6. Step 6: Final answer
    x = 164.19

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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.