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Finding the Fourth Proportional to 153.85, 212.20 and 98.53

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Solution

The fourth proportional to 153.85, 212.20 and 98.53 is: 135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.85 : 212.20 = 98.53 : x
  2. Step 2: Convert to fraction form
    153.85/212.20 = 98.53/x
  3. Step 3: Cross multiply
    153.85x = 212.20 × 98.53
  4. Step 4: Simplify right side
    153.85x = 20,908.07
  5. Step 5: Solve for x
    x = 20,908.07/153.85
  6. Step 6: Final answer
    x = 135.90

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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.