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Finding the Fourth Proportional to 66.13, 91.27 and 49.73

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Solution

The fourth proportional to 66.13, 91.27 and 49.73 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.13 : 91.27 = 49.73 : x
  2. Step 2: Convert to fraction form
    66.13/91.27 = 49.73/x
  3. Step 3: Cross multiply
    66.13x = 91.27 × 49.73
  4. Step 4: Simplify right side
    66.13x = 4,538.86
  5. Step 5: Solve for x
    x = 4,538.86/66.13
  6. Step 6: Final answer
    x = 68.64

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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.