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Finding the Fourth Proportional to 127.32, 190.96 and 41.84

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Solution

The fourth proportional to 127.32, 190.96 and 41.84 is: 62.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.32 : 190.96 = 41.84 : x
  2. Step 2: Convert to fraction form
    127.32/190.96 = 41.84/x
  3. Step 3: Cross multiply
    127.32x = 190.96 × 41.84
  4. Step 4: Simplify right side
    127.32x = 7,989.77
  5. Step 5: Solve for x
    x = 7,989.77/127.32
  6. Step 6: Final answer
    x = 62.75

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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.