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Finding the Fourth Proportional to 127.41, 191.07 and 78.59

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Solution

The fourth proportional to 127.41, 191.07 and 78.59 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.41 : 191.07 = 78.59 : x
  2. Step 2: Convert to fraction form
    127.41/191.07 = 78.59/x
  3. Step 3: Cross multiply
    127.41x = 191.07 × 78.59
  4. Step 4: Simplify right side
    127.41x = 15,015.24
  5. Step 5: Solve for x
    x = 15,015.24/127.41
  6. Step 6: Final answer
    x = 117.85

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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.