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Finding the Fourth Proportional to 153.53, 211.77 and 106.88

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Solution

The fourth proportional to 153.53, 211.77 and 106.88 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.53 : 211.77 = 106.88 : x
  2. Step 2: Convert to fraction form
    153.53/211.77 = 106.88/x
  3. Step 3: Cross multiply
    153.53x = 211.77 × 106.88
  4. Step 4: Simplify right side
    153.53x = 22,633.98
  5. Step 5: Solve for x
    x = 22,633.98/153.53
  6. Step 6: Final answer
    x = 147.42

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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.