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Finding the Fourth Proportional to 154.84, 213.78 and 105.70

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Solution

The fourth proportional to 154.84, 213.78 and 105.70 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.84 : 213.78 = 105.70 : x
  2. Step 2: Convert to fraction form
    154.84/213.78 = 105.70/x
  3. Step 3: Cross multiply
    154.84x = 213.78 × 105.70
  4. Step 4: Simplify right side
    154.84x = 22,596.55
  5. Step 5: Solve for x
    x = 22,596.55/154.84
  6. Step 6: Final answer
    x = 145.93

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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.