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Finding the Fourth Proportional to 39.42, 59.14 and 21.14

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Solution

The fourth proportional to 39.42, 59.14 and 21.14 is: 31.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 59.14 = 21.14 : x
  2. Step 2: Convert to fraction form
    39.42/59.14 = 21.14/x
  3. Step 3: Cross multiply
    39.42x = 59.14 × 21.14
  4. Step 4: Simplify right side
    39.42x = 1,249.87
  5. Step 5: Solve for x
    x = 1,249.87/39.42
  6. Step 6: Final answer
    x = 31.70

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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.