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Finding the Fourth Proportional to 113.10, 156.75 and 111.33

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Solution

The fourth proportional to 113.10, 156.75 and 111.33 is: 154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 156.75 = 111.33 : x
  2. Step 2: Convert to fraction form
    113.10/156.75 = 111.33/x
  3. Step 3: Cross multiply
    113.10x = 156.75 × 111.33
  4. Step 4: Simplify right side
    113.10x = 17,450.98
  5. Step 5: Solve for x
    x = 17,450.98/113.10
  6. Step 6: Final answer
    x = 154.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.