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Finding the Fourth Proportional to 113.68, 156.81 and 85.96

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Solution

The fourth proportional to 113.68, 156.81 and 85.96 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 156.81 = 85.96 : x
  2. Step 2: Convert to fraction form
    113.68/156.81 = 85.96/x
  3. Step 3: Cross multiply
    113.68x = 156.81 × 85.96
  4. Step 4: Simplify right side
    113.68x = 13,479.66
  5. Step 5: Solve for x
    x = 13,479.66/113.68
  6. Step 6: Final answer
    x = 118.58

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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.