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Finding the Fourth Proportional to 102.33, 140.81 and 77.63

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Solution

The fourth proportional to 102.33, 140.81 and 77.63 is: 106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 140.81 = 77.63 : x
  2. Step 2: Convert to fraction form
    102.33/140.81 = 77.63/x
  3. Step 3: Cross multiply
    102.33x = 140.81 × 77.63
  4. Step 4: Simplify right side
    102.33x = 10,929.99
  5. Step 5: Solve for x
    x = 10,929.99/102.33
  6. Step 6: Final answer
    x = 106.81

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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.