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Finding the Fourth Proportional to 129.18, 193.34 and 92.51

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Solution

The fourth proportional to 129.18, 193.34 and 92.51 is: 138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.18 : 193.34 = 92.51 : x
  2. Step 2: Convert to fraction form
    129.18/193.34 = 92.51/x
  3. Step 3: Cross multiply
    129.18x = 193.34 × 92.51
  4. Step 4: Simplify right side
    129.18x = 17,885.88
  5. Step 5: Solve for x
    x = 17,885.88/129.18
  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.