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Finding the Fourth Proportional to 113.65, 156.93 and 82.73

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Solution

The fourth proportional to 113.65, 156.93 and 82.73 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.65 : 156.93 = 82.73 : x
  2. Step 2: Convert to fraction form
    113.65/156.93 = 82.73/x
  3. Step 3: Cross multiply
    113.65x = 156.93 × 82.73
  4. Step 4: Simplify right side
    113.65x = 12,982.82
  5. Step 5: Solve for x
    x = 12,982.82/113.65
  6. Step 6: Final answer
    x = 114.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.