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Finding the Fourth Proportional to 92.08, 127 and 78.31

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Solution

The fourth proportional to 92.08, 127 and 78.31 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 127 = 78.31 : x
  2. Step 2: Convert to fraction form
    92.08/127 = 78.31/x
  3. Step 3: Cross multiply
    92.08x = 127 × 78.31
  4. Step 4: Simplify right side
    92.08x = 9,945.37
  5. Step 5: Solve for x
    x = 9,945.37/92.08
  6. Step 6: Final answer
    x = 108.01

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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.