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Finding the Fourth Proportional to 61.27, 83.84 and 60.01

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Solution

The fourth proportional to 61.27, 83.84 and 60.01 is: 82.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.27 : 83.84 = 60.01 : x
  2. Step 2: Convert to fraction form
    61.27/83.84 = 60.01/x
  3. Step 3: Cross multiply
    61.27x = 83.84 × 60.01
  4. Step 4: Simplify right side
    61.27x = 5,030.82
  5. Step 5: Solve for x
    x = 5,030.82/61.27
  6. Step 6: Final answer
    x = 82.12

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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.