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Finding the Fourth Proportional to 127.31, 175.70 and 69.10

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Solution

The fourth proportional to 127.31, 175.70 and 69.10 is: 95.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.31 : 175.70 = 69.10 : x
  2. Step 2: Convert to fraction form
    127.31/175.70 = 69.10/x
  3. Step 3: Cross multiply
    127.31x = 175.70 × 69.10
  4. Step 4: Simplify right side
    127.31x = 12,140.09
  5. Step 5: Solve for x
    x = 12,140.09/127.31
  6. Step 6: Final answer
    x = 95.36

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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.