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Finding the Fourth Proportional to 103.42, 142.68 and 82.74

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Solution

The fourth proportional to 103.42, 142.68 and 82.74 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 142.68 = 82.74 : x
  2. Step 2: Convert to fraction form
    103.42/142.68 = 82.74/x
  3. Step 3: Cross multiply
    103.42x = 142.68 × 82.74
  4. Step 4: Simplify right side
    103.42x = 11,804.93
  5. Step 5: Solve for x
    x = 11,804.93/103.42
  6. Step 6: Final answer
    x = 114.15

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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.