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Finding the Fourth Proportional to 113.27, 155.45 and 113.27

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Solution

The fourth proportional to 113.27, 155.45 and 113.27 is: 155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 155.45 = 113.27 : x
  2. Step 2: Convert to fraction form
    113.27/155.45 = 113.27/x
  3. Step 3: Cross multiply
    113.27x = 155.45 × 113.27
  4. Step 4: Simplify right side
    113.27x = 17,607.33
  5. Step 5: Solve for x
    x = 17,607.33/113.27
  6. Step 6: Final answer
    x = 155.45

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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.