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Finding the Fourth Proportional to 113.30, 156.26 and 83.81

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Solution

The fourth proportional to 113.30, 156.26 and 83.81 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.30 : 156.26 = 83.81 : x
  2. Step 2: Convert to fraction form
    113.30/156.26 = 83.81/x
  3. Step 3: Cross multiply
    113.30x = 156.26 × 83.81
  4. Step 4: Simplify right side
    113.30x = 13,095.58
  5. Step 5: Solve for x
    x = 13,095.58/113.30
  6. Step 6: Final answer
    x = 115.58

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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.