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Finding the Fourth Proportional to 154.87, 213.80 and 106.00

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Solution

The fourth proportional to 154.87, 213.80 and 106.00 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.87 : 213.80 = 106.00 : x
  2. Step 2: Convert to fraction form
    154.87/213.80 = 106.00/x
  3. Step 3: Cross multiply
    154.87x = 213.80 × 106.00
  4. Step 4: Simplify right side
    154.87x = 22,661.74
  5. Step 5: Solve for x
    x = 22,661.74/154.87
  6. Step 6: Final answer
    x = 146.33

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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.