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Finding the Fourth Proportional to 60.27, 83.16 and 40.58

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Solution

The fourth proportional to 60.27, 83.16 and 40.58 is: 55.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.27 : 83.16 = 40.58 : x
  2. Step 2: Convert to fraction form
    60.27/83.16 = 40.58/x
  3. Step 3: Cross multiply
    60.27x = 83.16 × 40.58
  4. Step 4: Simplify right side
    60.27x = 3,374.22
  5. Step 5: Solve for x
    x = 3,374.22/60.27
  6. Step 6: Final answer
    x = 55.99

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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.