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Finding the Fourth Proportional to 127.42, 175.91 and 77.63

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Solution

The fourth proportional to 127.42, 175.91 and 77.63 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 175.91 = 77.63 : x
  2. Step 2: Convert to fraction form
    127.42/175.91 = 77.63/x
  3. Step 3: Cross multiply
    127.42x = 175.91 × 77.63
  4. Step 4: Simplify right side
    127.42x = 13,655.94
  5. Step 5: Solve for x
    x = 13,655.94/127.42
  6. Step 6: Final answer
    x = 107.17

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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.