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Finding the Fourth Proportional to 127.22, 190.72 and 46.05

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Solution

The fourth proportional to 127.22, 190.72 and 46.05 is: 69.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 190.72 = 46.05 : x
  2. Step 2: Convert to fraction form
    127.22/190.72 = 46.05/x
  3. Step 3: Cross multiply
    127.22x = 190.72 × 46.05
  4. Step 4: Simplify right side
    127.22x = 8,782.66
  5. Step 5: Solve for x
    x = 8,782.66/127.22
  6. Step 6: Final answer
    x = 69.04

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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.