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Finding the Fourth Proportional to 127, 190.38 and 106.84

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Solution

The fourth proportional to 127, 190.38 and 106.84 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 190.38 = 106.84 : x
  2. Step 2: Convert to fraction form
    127/190.38 = 106.84/x
  3. Step 3: Cross multiply
    127x = 190.38 × 106.84
  4. Step 4: Simplify right side
    127x = 20,340.20
  5. Step 5: Solve for x
    x = 20,340.20/127
  6. Step 6: Final answer
    x = 160.16

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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.