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Finding the Fourth Proportional to 154.65, 213.46 and 102.21

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Solution

The fourth proportional to 154.65, 213.46 and 102.21 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.65 : 213.46 = 102.21 : x
  2. Step 2: Convert to fraction form
    154.65/213.46 = 102.21/x
  3. Step 3: Cross multiply
    154.65x = 213.46 × 102.21
  4. Step 4: Simplify right side
    154.65x = 21,816.55
  5. Step 5: Solve for x
    x = 21,816.55/154.65
  6. Step 6: Final answer
    x = 141.07

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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.