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Finding the Fourth Proportional to 86.14, 129.23 and 40.51

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Solution

The fourth proportional to 86.14, 129.23 and 40.51 is: 60.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.14 : 129.23 = 40.51 : x
  2. Step 2: Convert to fraction form
    86.14/129.23 = 40.51/x
  3. Step 3: Cross multiply
    86.14x = 129.23 × 40.51
  4. Step 4: Simplify right side
    86.14x = 5,235.01
  5. Step 5: Solve for x
    x = 5,235.01/86.14
  6. Step 6: Final answer
    x = 60.78

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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.