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Finding the Fourth Proportional to 66.85, 92.21 and 48.38

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Solution

The fourth proportional to 66.85, 92.21 and 48.38 is: 66.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.85 : 92.21 = 48.38 : x
  2. Step 2: Convert to fraction form
    66.85/92.21 = 48.38/x
  3. Step 3: Cross multiply
    66.85x = 92.21 × 48.38
  4. Step 4: Simplify right side
    66.85x = 4,460.42
  5. Step 5: Solve for x
    x = 4,460.42/66.85
  6. Step 6: Final answer
    x = 66.73

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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.