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Finding the Fourth Proportional to 127.14, 189.78 and 110.87

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Solution

The fourth proportional to 127.14, 189.78 and 110.87 is: 165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 189.78 = 110.87 : x
  2. Step 2: Convert to fraction form
    127.14/189.78 = 110.87/x
  3. Step 3: Cross multiply
    127.14x = 189.78 × 110.87
  4. Step 4: Simplify right side
    127.14x = 21,039.96
  5. Step 5: Solve for x
    x = 21,039.96/127.14
  6. Step 6: Final answer
    x = 165.49

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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.