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Finding the Fourth Proportional to 111.14, 153.06 and 106.70

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Solution

The fourth proportional to 111.14, 153.06 and 106.70 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.14 : 153.06 = 106.70 : x
  2. Step 2: Convert to fraction form
    111.14/153.06 = 106.70/x
  3. Step 3: Cross multiply
    111.14x = 153.06 × 106.70
  4. Step 4: Simplify right side
    111.14x = 16,331.50
  5. Step 5: Solve for x
    x = 16,331.50/111.14
  6. Step 6: Final answer
    x = 146.95

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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.