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Finding the Fourth Proportional to 103.44, 142.77 and 59.78

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Solution

The fourth proportional to 103.44, 142.77 and 59.78 is: 82.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.44 : 142.77 = 59.78 : x
  2. Step 2: Convert to fraction form
    103.44/142.77 = 59.78/x
  3. Step 3: Cross multiply
    103.44x = 142.77 × 59.78
  4. Step 4: Simplify right side
    103.44x = 8,534.79
  5. Step 5: Solve for x
    x = 8,534.79/103.44
  6. Step 6: Final answer
    x = 82.51

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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.