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Finding the Fourth Proportional to 113.83, 156.94 and 84.31

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Solution

The fourth proportional to 113.83, 156.94 and 84.31 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.83 : 156.94 = 84.31 : x
  2. Step 2: Convert to fraction form
    113.83/156.94 = 84.31/x
  3. Step 3: Cross multiply
    113.83x = 156.94 × 84.31
  4. Step 4: Simplify right side
    113.83x = 13,231.01
  5. Step 5: Solve for x
    x = 13,231.01/113.83
  6. Step 6: Final answer
    x = 116.24

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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.