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Finding the Fourth Proportional to 60.82, 83.93 and 34.59

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Solution

The fourth proportional to 60.82, 83.93 and 34.59 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.82 : 83.93 = 34.59 : x
  2. Step 2: Convert to fraction form
    60.82/83.93 = 34.59/x
  3. Step 3: Cross multiply
    60.82x = 83.93 × 34.59
  4. Step 4: Simplify right side
    60.82x = 2,903.28
  5. Step 5: Solve for x
    x = 2,903.28/60.82
  6. Step 6: Final answer
    x = 47.74

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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.