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Finding the Fourth Proportional to 102.75, 141.89 and 77.01

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Solution

The fourth proportional to 102.75, 141.89 and 77.01 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 141.89 = 77.01 : x
  2. Step 2: Convert to fraction form
    102.75/141.89 = 77.01/x
  3. Step 3: Cross multiply
    102.75x = 141.89 × 77.01
  4. Step 4: Simplify right side
    102.75x = 10,926.56
  5. Step 5: Solve for x
    x = 10,926.56/102.75
  6. Step 6: Final answer
    x = 106.34

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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.