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Finding the Fourth Proportional to 86.69, 130.04 and 25.83

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Solution

The fourth proportional to 86.69, 130.04 and 25.83 is: 38.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.69 : 130.04 = 25.83 : x
  2. Step 2: Convert to fraction form
    86.69/130.04 = 25.83/x
  3. Step 3: Cross multiply
    86.69x = 130.04 × 25.83
  4. Step 4: Simplify right side
    86.69x = 3,358.93
  5. Step 5: Solve for x
    x = 3,358.93/86.69
  6. Step 6: Final answer
    x = 38.75

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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.