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Finding the Fourth Proportional to 127.50, 175.94 and 77.75

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Solution

The fourth proportional to 127.50, 175.94 and 77.75 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 175.94 = 77.75 : x
  2. Step 2: Convert to fraction form
    127.50/175.94 = 77.75/x
  3. Step 3: Cross multiply
    127.50x = 175.94 × 77.75
  4. Step 4: Simplify right side
    127.50x = 13,678.07
  5. Step 5: Solve for x
    x = 13,678.07/127.50
  6. Step 6: Final answer
    x = 107.28

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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.