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Finding the Fourth Proportional to 102.08, 140.84 and 57.82

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Solution

The fourth proportional to 102.08, 140.84 and 57.82 is: 79.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 140.84 = 57.82 : x
  2. Step 2: Convert to fraction form
    102.08/140.84 = 57.82/x
  3. Step 3: Cross multiply
    102.08x = 140.84 × 57.82
  4. Step 4: Simplify right side
    102.08x = 8,143.27
  5. Step 5: Solve for x
    x = 8,143.27/102.08
  6. Step 6: Final answer
    x = 79.77

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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.