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Finding the Fourth Proportional to 60.84, 83.96 and 34.62

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Solution

The fourth proportional to 60.84, 83.96 and 34.62 is: 47.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.84 : 83.96 = 34.62 : x
  2. Step 2: Convert to fraction form
    60.84/83.96 = 34.62/x
  3. Step 3: Cross multiply
    60.84x = 83.96 × 34.62
  4. Step 4: Simplify right side
    60.84x = 2,906.34
  5. Step 5: Solve for x
    x = 2,906.34/60.84
  6. Step 6: Final answer
    x = 47.77

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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.