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Finding the Fourth Proportional to 103.24, 142.38 and 83.80

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Solution

The fourth proportional to 103.24, 142.38 and 83.80 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.24 : 142.38 = 83.80 : x
  2. Step 2: Convert to fraction form
    103.24/142.38 = 83.80/x
  3. Step 3: Cross multiply
    103.24x = 142.38 × 83.80
  4. Step 4: Simplify right side
    103.24x = 11,931.44
  5. Step 5: Solve for x
    x = 11,931.44/103.24
  6. Step 6: Final answer
    x = 115.57

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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.