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Finding the Fourth Proportional to 92.08, 138.20 and 56

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Solution

The fourth proportional to 92.08, 138.20 and 56 is: 84.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 138.20 = 56 : x
  2. Step 2: Convert to fraction form
    92.08/138.20 = 56/x
  3. Step 3: Cross multiply
    92.08x = 138.20 × 56
  4. Step 4: Simplify right side
    92.08x = 7,739.20
  5. Step 5: Solve for x
    x = 7,739.20/92.08
  6. Step 6: Final answer
    x = 84.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.