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Finding the Fourth Proportional to 102.05, 140.69 and 87.26

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Solution

The fourth proportional to 102.05, 140.69 and 87.26 is: 120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.05 : 140.69 = 87.26 : x
  2. Step 2: Convert to fraction form
    102.05/140.69 = 87.26/x
  3. Step 3: Cross multiply
    102.05x = 140.69 × 87.26
  4. Step 4: Simplify right side
    102.05x = 12,275.47
  5. Step 5: Solve for x
    x = 12,275.47/102.05
  6. Step 6: Final answer
    x = 120.29

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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.