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Finding the Fourth Proportional to 92.32, 138.36 and 76.24

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Solution

The fourth proportional to 92.32, 138.36 and 76.24 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.32 : 138.36 = 76.24 : x
  2. Step 2: Convert to fraction form
    92.32/138.36 = 76.24/x
  3. Step 3: Cross multiply
    92.32x = 138.36 × 76.24
  4. Step 4: Simplify right side
    92.32x = 10,548.57
  5. Step 5: Solve for x
    x = 10,548.57/92.32
  6. Step 6: Final answer
    x = 114.26

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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.