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Finding the Fourth Proportional to 61.13, 83.75 and 60.28

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Solution

The fourth proportional to 61.13, 83.75 and 60.28 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 83.75 = 60.28 : x
  2. Step 2: Convert to fraction form
    61.13/83.75 = 60.28/x
  3. Step 3: Cross multiply
    61.13x = 83.75 × 60.28
  4. Step 4: Simplify right side
    61.13x = 5,048.23
  5. Step 5: Solve for x
    x = 5,048.23/61.13
  6. Step 6: Final answer
    x = 82.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.