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Finding the Fourth Proportional to 113.49, 155.97 and 111.06

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Solution

The fourth proportional to 113.49, 155.97 and 111.06 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.49 : 155.97 = 111.06 : x
  2. Step 2: Convert to fraction form
    113.49/155.97 = 111.06/x
  3. Step 3: Cross multiply
    113.49x = 155.97 × 111.06
  4. Step 4: Simplify right side
    113.49x = 17,322.03
  5. Step 5: Solve for x
    x = 17,322.03/113.49
  6. Step 6: Final answer
    x = 152.63

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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.