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Finding the Fourth Proportional to 127.88, 191.82 and 46.78

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Solution

The fourth proportional to 127.88, 191.82 and 46.78 is: 70.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 191.82 = 46.78 : x
  2. Step 2: Convert to fraction form
    127.88/191.82 = 46.78/x
  3. Step 3: Cross multiply
    127.88x = 191.82 × 46.78
  4. Step 4: Simplify right side
    127.88x = 8,973.34
  5. Step 5: Solve for x
    x = 8,973.34/127.88
  6. Step 6: Final answer
    x = 70.17

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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.