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Finding the Fourth Proportional to 34.53, 51.72 and 20.98

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Solution

The fourth proportional to 34.53, 51.72 and 20.98 is: 31.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.53 : 51.72 = 20.98 : x
  2. Step 2: Convert to fraction form
    34.53/51.72 = 20.98/x
  3. Step 3: Cross multiply
    34.53x = 51.72 × 20.98
  4. Step 4: Simplify right side
    34.53x = 1,085.09
  5. Step 5: Solve for x
    x = 1,085.09/34.53
  6. Step 6: Final answer
    x = 31.42

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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.