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Finding the Fourth Proportional to 113.86, 156.99 and 104.14

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Solution

The fourth proportional to 113.86, 156.99 and 104.14 is: 143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.86 : 156.99 = 104.14 : x
  2. Step 2: Convert to fraction form
    113.86/156.99 = 104.14/x
  3. Step 3: Cross multiply
    113.86x = 156.99 × 104.14
  4. Step 4: Simplify right side
    113.86x = 16,348.94
  5. Step 5: Solve for x
    x = 16,348.94/113.86
  6. Step 6: Final answer
    x = 143.59

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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.