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Finding the Fourth Proportional to 154.67, 213.45 and 102.26

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Solution

The fourth proportional to 154.67, 213.45 and 102.26 is: 141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.67 : 213.45 = 102.26 : x
  2. Step 2: Convert to fraction form
    154.67/213.45 = 102.26/x
  3. Step 3: Cross multiply
    154.67x = 213.45 × 102.26
  4. Step 4: Simplify right side
    154.67x = 21,827.40
  5. Step 5: Solve for x
    x = 21,827.40/154.67
  6. Step 6: Final answer
    x = 141.12

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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.