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Finding the Fourth Proportional to 130.82, 196.16 and 92.34

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Solution

The fourth proportional to 130.82, 196.16 and 92.34 is: 138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 196.16 = 92.34 : x
  2. Step 2: Convert to fraction form
    130.82/196.16 = 92.34/x
  3. Step 3: Cross multiply
    130.82x = 196.16 × 92.34
  4. Step 4: Simplify right side
    130.82x = 18,113.41
  5. Step 5: Solve for x
    x = 18,113.41/130.82
  6. Step 6: Final answer
    x = 138.46

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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.