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Finding the Fourth Proportional to 127.67, 191.54 and 73.61

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Solution

The fourth proportional to 127.67, 191.54 and 73.61 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.67 : 191.54 = 73.61 : x
  2. Step 2: Convert to fraction form
    127.67/191.54 = 73.61/x
  3. Step 3: Cross multiply
    127.67x = 191.54 × 73.61
  4. Step 4: Simplify right side
    127.67x = 14,097.93
  5. Step 5: Solve for x
    x = 14,097.93/127.67
  6. Step 6: Final answer
    x = 110.43

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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.