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Finding the Fourth Proportional to 92.66, 139.04 and 37.82

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Solution

The fourth proportional to 92.66, 139.04 and 37.82 is: 56.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 139.04 = 37.82 : x
  2. Step 2: Convert to fraction form
    92.66/139.04 = 37.82/x
  3. Step 3: Cross multiply
    92.66x = 139.04 × 37.82
  4. Step 4: Simplify right side
    92.66x = 5,258.30
  5. Step 5: Solve for x
    x = 5,258.30/92.66
  6. Step 6: Final answer
    x = 56.75

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