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Finding the Fourth Proportional to 34.50, 47.62 and 22.86

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Solution

The fourth proportional to 34.50, 47.62 and 22.86 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.50 : 47.62 = 22.86 : x
  2. Step 2: Convert to fraction form
    34.50/47.62 = 22.86/x
  3. Step 3: Cross multiply
    34.50x = 47.62 × 22.86
  4. Step 4: Simplify right side
    34.50x = 1,088.24
  5. Step 5: Solve for x
    x = 1,088.24/34.50
  6. Step 6: Final answer
    x = 31.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.