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Finding the Fourth Proportional to 102.08, 140.88 and 97.12

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Solution

The fourth proportional to 102.08, 140.88 and 97.12 is: 134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 140.88 = 97.12 : x
  2. Step 2: Convert to fraction form
    102.08/140.88 = 97.12/x
  3. Step 3: Cross multiply
    102.08x = 140.88 × 97.12
  4. Step 4: Simplify right side
    102.08x = 13,682.27
  5. Step 5: Solve for x
    x = 13,682.27/102.08
  6. Step 6: Final answer
    x = 134.03

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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.