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Finding the Fourth Proportional to 92.96, 138.34 and 92.40

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Solution

The fourth proportional to 92.96, 138.34 and 92.40 is: 137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.96 : 138.34 = 92.40 : x
  2. Step 2: Convert to fraction form
    92.96/138.34 = 92.40/x
  3. Step 3: Cross multiply
    92.96x = 138.34 × 92.40
  4. Step 4: Simplify right side
    92.96x = 12,782.62
  5. Step 5: Solve for x
    x = 12,782.62/92.96
  6. Step 6: Final answer
    x = 137.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.