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Finding the Fourth Proportional to 86.72, 130.08 and 22.60

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Solution

The fourth proportional to 86.72, 130.08 and 22.60 is: 33.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.72 : 130.08 = 22.60 : x
  2. Step 2: Convert to fraction form
    86.72/130.08 = 22.60/x
  3. Step 3: Cross multiply
    86.72x = 130.08 × 22.60
  4. Step 4: Simplify right side
    86.72x = 2,939.48
  5. Step 5: Solve for x
    x = 2,939.48/86.72
  6. Step 6: Final answer
    x = 33.90

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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.