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Finding the Fourth Proportional to 127.18, 190.65 and 50.19

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Solution

The fourth proportional to 127.18, 190.65 and 50.19 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.18 : 190.65 = 50.19 : x
  2. Step 2: Convert to fraction form
    127.18/190.65 = 50.19/x
  3. Step 3: Cross multiply
    127.18x = 190.65 × 50.19
  4. Step 4: Simplify right side
    127.18x = 9,568.72
  5. Step 5: Solve for x
    x = 9,568.72/127.18
  6. Step 6: Final answer
    x = 75.24

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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.