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Finding the Fourth Proportional to 86.74, 130.11 and 22.61

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Solution

The fourth proportional to 86.74, 130.11 and 22.61 is: 33.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.74 : 130.11 = 22.61 : x
  2. Step 2: Convert to fraction form
    86.74/130.11 = 22.61/x
  3. Step 3: Cross multiply
    86.74x = 130.11 × 22.61
  4. Step 4: Simplify right side
    86.74x = 2,941.79
  5. Step 5: Solve for x
    x = 2,941.79/86.74
  6. Step 6: Final answer
    x = 33.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.