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Finding the Fourth Proportional to 34.86, 52.23 and 16.55

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Solution

The fourth proportional to 34.86, 52.23 and 16.55 is: 24.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.86 : 52.23 = 16.55 : x
  2. Step 2: Convert to fraction form
    34.86/52.23 = 16.55/x
  3. Step 3: Cross multiply
    34.86x = 52.23 × 16.55
  4. Step 4: Simplify right side
    34.86x = 864.06
  5. Step 5: Solve for x
    x = 864.06/34.86
  6. Step 6: Final answer
    x = 24.79

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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.