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Finding the Fourth Proportional to 25.42, 38.14 and 14.02

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Solution

The fourth proportional to 25.42, 38.14 and 14.02 is: 21.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 38.14 = 14.02 : x
  2. Step 2: Convert to fraction form
    25.42/38.14 = 14.02/x
  3. Step 3: Cross multiply
    25.42x = 38.14 × 14.02
  4. Step 4: Simplify right side
    25.42x = 534.72
  5. Step 5: Solve for x
    x = 534.72/25.42
  6. Step 6: Final answer
    x = 21.04

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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.