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Finding the Fourth Proportional to 86.84, 130.24 and 25.96

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Solution

The fourth proportional to 86.84, 130.24 and 25.96 is: 38.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.84 : 130.24 = 25.96 : x
  2. Step 2: Convert to fraction form
    86.84/130.24 = 25.96/x
  3. Step 3: Cross multiply
    86.84x = 130.24 × 25.96
  4. Step 4: Simplify right side
    86.84x = 3,381.03
  5. Step 5: Solve for x
    x = 3,381.03/86.84
  6. Step 6: Final answer
    x = 38.93

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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.