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Finding the Fourth Proportional to 66.91, 92.34 and 37.81

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Solution

The fourth proportional to 66.91, 92.34 and 37.81 is: 52.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.91 : 92.34 = 37.81 : x
  2. Step 2: Convert to fraction form
    66.91/92.34 = 37.81/x
  3. Step 3: Cross multiply
    66.91x = 92.34 × 37.81
  4. Step 4: Simplify right side
    66.91x = 3,490.91
  5. Step 5: Solve for x
    x = 3,490.91/66.91
  6. Step 6: Final answer
    x = 52.17

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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.