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Finding the Fourth Proportional to 92.63, 139.01 and 37.83

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Solution

The fourth proportional to 92.63, 139.01 and 37.83 is: 56.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.63 : 139.01 = 37.83 : x
  2. Step 2: Convert to fraction form
    92.63/139.01 = 37.83/x
  3. Step 3: Cross multiply
    92.63x = 139.01 × 37.83
  4. Step 4: Simplify right side
    92.63x = 5,258.75
  5. Step 5: Solve for x
    x = 5,258.75/92.63
  6. Step 6: Final answer
    x = 56.77

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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.