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Finding the Fourth Proportional to 102.07, 140.73 and 77.56

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Solution

The fourth proportional to 102.07, 140.73 and 77.56 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 140.73 = 77.56 : x
  2. Step 2: Convert to fraction form
    102.07/140.73 = 77.56/x
  3. Step 3: Cross multiply
    102.07x = 140.73 × 77.56
  4. Step 4: Simplify right side
    102.07x = 10,915.02
  5. Step 5: Solve for x
    x = 10,915.02/102.07
  6. Step 6: Final answer
    x = 106.94

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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.