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Finding the Fourth Proportional to 154.56, 213.36 and 102.84

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Solution

The fourth proportional to 154.56, 213.36 and 102.84 is: 141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.56 : 213.36 = 102.84 : x
  2. Step 2: Convert to fraction form
    154.56/213.36 = 102.84/x
  3. Step 3: Cross multiply
    154.56x = 213.36 × 102.84
  4. Step 4: Simplify right side
    154.56x = 21,941.94
  5. Step 5: Solve for x
    x = 21,941.94/154.56
  6. Step 6: Final answer
    x = 141.96

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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.