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Finding the Fourth Proportional to 60.69, 83.63 and 38.82

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Solution

The fourth proportional to 60.69, 83.63 and 38.82 is: 53.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.69 : 83.63 = 38.82 : x
  2. Step 2: Convert to fraction form
    60.69/83.63 = 38.82/x
  3. Step 3: Cross multiply
    60.69x = 83.63 × 38.82
  4. Step 4: Simplify right side
    60.69x = 3,246.52
  5. Step 5: Solve for x
    x = 3,246.52/60.69
  6. Step 6: Final answer
    x = 53.49

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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.