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Finding the Fourth Proportional to 104.84, 145.67 and 103.71

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Solution

The fourth proportional to 104.84, 145.67 and 103.71 is: 144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.84 : 145.67 = 103.71 : x
  2. Step 2: Convert to fraction form
    104.84/145.67 = 103.71/x
  3. Step 3: Cross multiply
    104.84x = 145.67 × 103.71
  4. Step 4: Simplify right side
    104.84x = 15,107.69
  5. Step 5: Solve for x
    x = 15,107.69/104.84
  6. Step 6: Final answer
    x = 144.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.