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Finding the Fourth Proportional to 113.35, 156.60 and 84.61

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Solution

The fourth proportional to 113.35, 156.60 and 84.61 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.35 : 156.60 = 84.61 : x
  2. Step 2: Convert to fraction form
    113.35/156.60 = 84.61/x
  3. Step 3: Cross multiply
    113.35x = 156.60 × 84.61
  4. Step 4: Simplify right side
    113.35x = 13,249.93
  5. Step 5: Solve for x
    x = 13,249.93/113.35
  6. Step 6: Final answer
    x = 116.89

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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.