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Finding the Fourth Proportional to 60.52, 83.51 and 34.65

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Solution

The fourth proportional to 60.52, 83.51 and 34.65 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.52 : 83.51 = 34.65 : x
  2. Step 2: Convert to fraction form
    60.52/83.51 = 34.65/x
  3. Step 3: Cross multiply
    60.52x = 83.51 × 34.65
  4. Step 4: Simplify right side
    60.52x = 2,893.62
  5. Step 5: Solve for x
    x = 2,893.62/60.52
  6. Step 6: Final answer
    x = 47.81

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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.