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Finding the Fourth Proportional to 173.14, 259.71 and 86.34

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Solution

The fourth proportional to 173.14, 259.71 and 86.34 is: 129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 259.71 = 86.34 : x
  2. Step 2: Convert to fraction form
    173.14/259.71 = 86.34/x
  3. Step 3: Cross multiply
    173.14x = 259.71 × 86.34
  4. Step 4: Simplify right side
    173.14x = 22,423.28
  5. Step 5: Solve for x
    x = 22,423.28/173.14
  6. Step 6: Final answer
    x = 129.51

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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.