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Finding the Fourth Proportional to 153.70, 212.04 and 98.47

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Solution

The fourth proportional to 153.70, 212.04 and 98.47 is: 135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.70 : 212.04 = 98.47 : x
  2. Step 2: Convert to fraction form
    153.70/212.04 = 98.47/x
  3. Step 3: Cross multiply
    153.70x = 212.04 × 98.47
  4. Step 4: Simplify right side
    153.70x = 20,879.05
  5. Step 5: Solve for x
    x = 20,879.05/153.70
  6. Step 6: Final answer
    x = 135.85

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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.