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Finding the Fourth Proportional to 127.34, 190.65 and 106.82

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Solution

The fourth proportional to 127.34, 190.65 and 106.82 is: 159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.34 : 190.65 = 106.82 : x
  2. Step 2: Convert to fraction form
    127.34/190.65 = 106.82/x
  3. Step 3: Cross multiply
    127.34x = 190.65 × 106.82
  4. Step 4: Simplify right side
    127.34x = 20,365.23
  5. Step 5: Solve for x
    x = 20,365.23/127.34
  6. Step 6: Final answer
    x = 159.93

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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.