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Finding the Fourth Proportional to 127.98, 191.14 and 109.76

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Solution

The fourth proportional to 127.98, 191.14 and 109.76 is: 163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.98 : 191.14 = 109.76 : x
  2. Step 2: Convert to fraction form
    127.98/191.14 = 109.76/x
  3. Step 3: Cross multiply
    127.98x = 191.14 × 109.76
  4. Step 4: Simplify right side
    127.98x = 20,979.53
  5. Step 5: Solve for x
    x = 20,979.53/127.98
  6. Step 6: Final answer
    x = 163.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.