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Finding the Fourth Proportional to 102.14, 140.64 and 80.10

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Solution

The fourth proportional to 102.14, 140.64 and 80.10 is: 110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 140.64 = 80.10 : x
  2. Step 2: Convert to fraction form
    102.14/140.64 = 80.10/x
  3. Step 3: Cross multiply
    102.14x = 140.64 × 80.10
  4. Step 4: Simplify right side
    102.14x = 11,264.16
  5. Step 5: Solve for x
    x = 11,264.16/102.14
  6. Step 6: Final answer
    x = 110.29

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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.