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Finding the Fourth Proportional to 127.71, 176.26 and 84.02

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Solution

The fourth proportional to 127.71, 176.26 and 84.02 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.71 : 176.26 = 84.02 : x
  2. Step 2: Convert to fraction form
    127.71/176.26 = 84.02/x
  3. Step 3: Cross multiply
    127.71x = 176.26 × 84.02
  4. Step 4: Simplify right side
    127.71x = 14,809.37
  5. Step 5: Solve for x
    x = 14,809.37/127.71
  6. Step 6: Final answer
    x = 115.96

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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.