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Finding the Fourth Proportional to 113.82, 155.60 and 112.20

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Solution

The fourth proportional to 113.82, 155.60 and 112.20 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 155.60 = 112.20 : x
  2. Step 2: Convert to fraction form
    113.82/155.60 = 112.20/x
  3. Step 3: Cross multiply
    113.82x = 155.60 × 112.20
  4. Step 4: Simplify right side
    113.82x = 17,457.76
  5. Step 5: Solve for x
    x = 17,457.76/113.82
  6. Step 6: Final answer
    x = 153.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.