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Finding the Fourth Proportional to 39.42, 58.74 and 34.38

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Solution

The fourth proportional to 39.42, 58.74 and 34.38 is: 51.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 58.74 = 34.38 : x
  2. Step 2: Convert to fraction form
    39.42/58.74 = 34.38/x
  3. Step 3: Cross multiply
    39.42x = 58.74 × 34.38
  4. Step 4: Simplify right side
    39.42x = 2,019.48
  5. Step 5: Solve for x
    x = 2,019.48/39.42
  6. Step 6: Final answer
    x = 51.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.