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Finding the Fourth Proportional to 127.00, 175.30 and 77.90

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Solution

The fourth proportional to 127.00, 175.30 and 77.90 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.00 : 175.30 = 77.90 : x
  2. Step 2: Convert to fraction form
    127.00/175.30 = 77.90/x
  3. Step 3: Cross multiply
    127.00x = 175.30 × 77.90
  4. Step 4: Simplify right side
    127.00x = 13,654.80
  5. Step 5: Solve for x
    x = 13,654.80/127.00
  6. Step 6: Final answer
    x = 107.52

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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.