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Finding the Fourth Proportional to 60.39, 83.34 and 34.16

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Solution

The fourth proportional to 60.39, 83.34 and 34.16 is: 47.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.39 : 83.34 = 34.16 : x
  2. Step 2: Convert to fraction form
    60.39/83.34 = 34.16/x
  3. Step 3: Cross multiply
    60.39x = 83.34 × 34.16
  4. Step 4: Simplify right side
    60.39x = 2,846.89
  5. Step 5: Solve for x
    x = 2,846.89/60.39
  6. Step 6: Final answer
    x = 47.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.