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Finding the Fourth Proportional to 66.96, 92.34 and 47.61

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Solution

The fourth proportional to 66.96, 92.34 and 47.61 is: 65.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 92.34 = 47.61 : x
  2. Step 2: Convert to fraction form
    66.96/92.34 = 47.61/x
  3. Step 3: Cross multiply
    66.96x = 92.34 × 47.61
  4. Step 4: Simplify right side
    66.96x = 4,396.31
  5. Step 5: Solve for x
    x = 4,396.31/66.96
  6. Step 6: Final answer
    x = 65.66

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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.