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Finding the Fourth Proportional to 39, 58.12 and 34.40

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Solution

The fourth proportional to 39, 58.12 and 34.40 is: 51.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39 : 58.12 = 34.40 : x
  2. Step 2: Convert to fraction form
    39/58.12 = 34.40/x
  3. Step 3: Cross multiply
    39x = 58.12 × 34.40
  4. Step 4: Simplify right side
    39x = 1,999.33
  5. Step 5: Solve for x
    x = 1,999.33/39
  6. Step 6: Final answer
    x = 51.26

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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.