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Finding the Fourth Proportional to 111.61, 154.07 and 82.45

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Solution

The fourth proportional to 111.61, 154.07 and 82.45 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.61 : 154.07 = 82.45 : x
  2. Step 2: Convert to fraction form
    111.61/154.07 = 82.45/x
  3. Step 3: Cross multiply
    111.61x = 154.07 × 82.45
  4. Step 4: Simplify right side
    111.61x = 12,703.07
  5. Step 5: Solve for x
    x = 12,703.07/111.61
  6. Step 6: Final answer
    x = 113.82

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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.