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Finding the Fourth Proportional to 34.59, 51.90 and 16.56

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Solution

The fourth proportional to 34.59, 51.90 and 16.56 is: 24.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.59 : 51.90 = 16.56 : x
  2. Step 2: Convert to fraction form
    34.59/51.90 = 16.56/x
  3. Step 3: Cross multiply
    34.59x = 51.90 × 16.56
  4. Step 4: Simplify right side
    34.59x = 859.46
  5. Step 5: Solve for x
    x = 859.46/34.59
  6. Step 6: Final answer
    x = 24.85

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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.