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Finding the Fourth Proportional to 86.34, 129.50 and 31.49

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Solution

The fourth proportional to 86.34, 129.50 and 31.49 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.34 : 129.50 = 31.49 : x
  2. Step 2: Convert to fraction form
    86.34/129.50 = 31.49/x
  3. Step 3: Cross multiply
    86.34x = 129.50 × 31.49
  4. Step 4: Simplify right side
    86.34x = 4,078.24
  5. Step 5: Solve for x
    x = 4,078.24/86.34
  6. Step 6: Final answer
    x = 47.24

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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.