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Finding the Fourth Proportional to 127.32, 190.98 and 113.74

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Solution

The fourth proportional to 127.32, 190.98 and 113.74 is: 170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.32 : 190.98 = 113.74 : x
  2. Step 2: Convert to fraction form
    127.32/190.98 = 113.74/x
  3. Step 3: Cross multiply
    127.32x = 190.98 × 113.74
  4. Step 4: Simplify right side
    127.32x = 21,722.07
  5. Step 5: Solve for x
    x = 21,722.07/127.32
  6. Step 6: Final answer
    x = 170.61

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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.