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Finding the Fourth Proportional to 34.42, 51.60 and 14.14

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Solution

The fourth proportional to 34.42, 51.60 and 14.14 is: 21.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.42 : 51.60 = 14.14 : x
  2. Step 2: Convert to fraction form
    34.42/51.60 = 14.14/x
  3. Step 3: Cross multiply
    34.42x = 51.60 × 14.14
  4. Step 4: Simplify right side
    34.42x = 729.62
  5. Step 5: Solve for x
    x = 729.62/34.42
  6. Step 6: Final answer
    x = 21.20

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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.