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Finding the Fourth Proportional to 102.14, 140.96 and 77.57

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Solution

The fourth proportional to 102.14, 140.96 and 77.57 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 140.96 = 77.57 : x
  2. Step 2: Convert to fraction form
    102.14/140.96 = 77.57/x
  3. Step 3: Cross multiply
    102.14x = 140.96 × 77.57
  4. Step 4: Simplify right side
    102.14x = 10,933.76
  5. Step 5: Solve for x
    x = 10,933.76/102.14
  6. Step 6: Final answer
    x = 107.05

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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.