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Finding the Fourth Proportional to 127.26, 191.10 and 107.10

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Solution

The fourth proportional to 127.26, 191.10 and 107.10 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 191.10 = 107.10 : x
  2. Step 2: Convert to fraction form
    127.26/191.10 = 107.10/x
  3. Step 3: Cross multiply
    127.26x = 191.10 × 107.10
  4. Step 4: Simplify right side
    127.26x = 20,466.81
  5. Step 5: Solve for x
    x = 20,466.81/127.26
  6. Step 6: Final answer
    x = 160.83

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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.