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Finding the Fourth Proportional to 113.22, 156.14 and 73.84

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Solution

The fourth proportional to 113.22, 156.14 and 73.84 is: 101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.22 : 156.14 = 73.84 : x
  2. Step 2: Convert to fraction form
    113.22/156.14 = 73.84/x
  3. Step 3: Cross multiply
    113.22x = 156.14 × 73.84
  4. Step 4: Simplify right side
    113.22x = 11,529.17
  5. Step 5: Solve for x
    x = 11,529.17/113.22
  6. Step 6: Final answer
    x = 101.83

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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.