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Finding the Fourth Proportional to 102.30, 140.41 and 102.30

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Solution

The fourth proportional to 102.30, 140.41 and 102.30 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 140.41 = 102.30 : x
  2. Step 2: Convert to fraction form
    102.30/140.41 = 102.30/x
  3. Step 3: Cross multiply
    102.30x = 140.41 × 102.30
  4. Step 4: Simplify right side
    102.30x = 14,363.94
  5. Step 5: Solve for x
    x = 14,363.94/102.30
  6. Step 6: Final answer
    x = 140.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.