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Finding the Fourth Proportional to 127.70, 191.40 and 73.49

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Solution

The fourth proportional to 127.70, 191.40 and 73.49 is: 110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.70 : 191.40 = 73.49 : x
  2. Step 2: Convert to fraction form
    127.70/191.40 = 73.49/x
  3. Step 3: Cross multiply
    127.70x = 191.40 × 73.49
  4. Step 4: Simplify right side
    127.70x = 14,065.54
  5. Step 5: Solve for x
    x = 14,065.54/127.70
  6. Step 6: Final answer
    x = 110.14

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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.