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Finding the Fourth Proportional to 153.85, 212.25 and 101.42

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Solution

The fourth proportional to 153.85, 212.25 and 101.42 is: 139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.85 : 212.25 = 101.42 : x
  2. Step 2: Convert to fraction form
    153.85/212.25 = 101.42/x
  3. Step 3: Cross multiply
    153.85x = 212.25 × 101.42
  4. Step 4: Simplify right side
    153.85x = 21,524.83
  5. Step 5: Solve for x
    x = 21,524.83/153.85
  6. Step 6: Final answer
    x = 139.91

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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.