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Finding the Fourth Proportional to 153.63, 212.02 and 84.63

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Solution

The fourth proportional to 153.63, 212.02 and 84.63 is: 116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 212.02 = 84.63 : x
  2. Step 2: Convert to fraction form
    153.63/212.02 = 84.63/x
  3. Step 3: Cross multiply
    153.63x = 212.02 × 84.63
  4. Step 4: Simplify right side
    153.63x = 17,942.83
  5. Step 5: Solve for x
    x = 17,942.83/153.63
  6. Step 6: Final answer
    x = 116.79

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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.