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Finding the Fourth Proportional to 66.27, 99.27 and 31.93

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Solution

The fourth proportional to 66.27, 99.27 and 31.93 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.27 : 99.27 = 31.93 : x
  2. Step 2: Convert to fraction form
    66.27/99.27 = 31.93/x
  3. Step 3: Cross multiply
    66.27x = 99.27 × 31.93
  4. Step 4: Simplify right side
    66.27x = 3,169.35
  5. Step 5: Solve for x
    x = 3,169.35/66.27
  6. Step 6: Final answer
    x = 47.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.