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Finding the Fourth Proportional to 104.66, 143.14 and 104.24

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Solution

The fourth proportional to 104.66, 143.14 and 104.24 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 143.14 = 104.24 : x
  2. Step 2: Convert to fraction form
    104.66/143.14 = 104.24/x
  3. Step 3: Cross multiply
    104.66x = 143.14 × 104.24
  4. Step 4: Simplify right side
    104.66x = 14,920.91
  5. Step 5: Solve for x
    x = 14,920.91/104.66
  6. Step 6: Final answer
    x = 142.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.