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Finding the Fourth Proportional to 153.49, 211.85 and 98.27

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Solution

The fourth proportional to 153.49, 211.85 and 98.27 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.49 : 211.85 = 98.27 : x
  2. Step 2: Convert to fraction form
    153.49/211.85 = 98.27/x
  3. Step 3: Cross multiply
    153.49x = 211.85 × 98.27
  4. Step 4: Simplify right side
    153.49x = 20,818.01
  5. Step 5: Solve for x
    x = 20,818.01/153.49
  6. Step 6: Final answer
    x = 135.64

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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.