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Finding the Fourth Proportional to 60.27, 83.01 and 52.08

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Solution

The fourth proportional to 60.27, 83.01 and 52.08 is: 71.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.27 : 83.01 = 52.08 : x
  2. Step 2: Convert to fraction form
    60.27/83.01 = 52.08/x
  3. Step 3: Cross multiply
    60.27x = 83.01 × 52.08
  4. Step 4: Simplify right side
    60.27x = 4,322.69
  5. Step 5: Solve for x
    x = 4,322.69/60.27
  6. Step 6: Final answer
    x = 71.73

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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.