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Finding the Fourth Proportional to 127.65, 176.04 and 83.37

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Solution

The fourth proportional to 127.65, 176.04 and 83.37 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 176.04 = 83.37 : x
  2. Step 2: Convert to fraction form
    127.65/176.04 = 83.37/x
  3. Step 3: Cross multiply
    127.65x = 176.04 × 83.37
  4. Step 4: Simplify right side
    127.65x = 14,676.45
  5. Step 5: Solve for x
    x = 14,676.45/127.65
  6. Step 6: Final answer
    x = 114.97

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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.