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Finding the Fourth Proportional to 127.41, 175.82 and 78.28

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Solution

The fourth proportional to 127.41, 175.82 and 78.28 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.41 : 175.82 = 78.28 : x
  2. Step 2: Convert to fraction form
    127.41/175.82 = 78.28/x
  3. Step 3: Cross multiply
    127.41x = 175.82 × 78.28
  4. Step 4: Simplify right side
    127.41x = 13,763.19
  5. Step 5: Solve for x
    x = 13,763.19/127.41
  6. Step 6: Final answer
    x = 108.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.