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Finding the Fourth Proportional to 153.97, 212.34 and 101.56

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Solution

The fourth proportional to 153.97, 212.34 and 101.56 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.97 : 212.34 = 101.56 : x
  2. Step 2: Convert to fraction form
    153.97/212.34 = 101.56/x
  3. Step 3: Cross multiply
    153.97x = 212.34 × 101.56
  4. Step 4: Simplify right side
    153.97x = 21,565.25
  5. Step 5: Solve for x
    x = 21,565.25/153.97
  6. Step 6: Final answer
    x = 140.06

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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.