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Finding the Fourth Proportional to 127.77, 191.64 and 54.59

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Solution

The fourth proportional to 127.77, 191.64 and 54.59 is: 81.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.77 : 191.64 = 54.59 : x
  2. Step 2: Convert to fraction form
    127.77/191.64 = 54.59/x
  3. Step 3: Cross multiply
    127.77x = 191.64 × 54.59
  4. Step 4: Simplify right side
    127.77x = 10,460.67
  5. Step 5: Solve for x
    x = 10,460.67/127.77
  6. Step 6: Final answer
    x = 81.87

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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.