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Finding the Fourth Proportional to 111.61, 153.70 and 106.41

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Solution

The fourth proportional to 111.61, 153.70 and 106.41 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.61 : 153.70 = 106.41 : x
  2. Step 2: Convert to fraction form
    111.61/153.70 = 106.41/x
  3. Step 3: Cross multiply
    111.61x = 153.70 × 106.41
  4. Step 4: Simplify right side
    111.61x = 16,355.22
  5. Step 5: Solve for x
    x = 16,355.22/111.61
  6. Step 6: Final answer
    x = 146.54

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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.