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Finding the Fourth Proportional to 60.26, 83.16 and 35.71

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Solution

The fourth proportional to 60.26, 83.16 and 35.71 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.26 : 83.16 = 35.71 : x
  2. Step 2: Convert to fraction form
    60.26/83.16 = 35.71/x
  3. Step 3: Cross multiply
    60.26x = 83.16 × 35.71
  4. Step 4: Simplify right side
    60.26x = 2,969.44
  5. Step 5: Solve for x
    x = 2,969.44/60.26
  6. Step 6: Final answer
    x = 49.28

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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.