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Finding the Fourth Proportional to 101.23, 151.84 and 29.09

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Solution

The fourth proportional to 101.23, 151.84 and 29.09 is: 43.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.23 : 151.84 = 29.09 : x
  2. Step 2: Convert to fraction form
    101.23/151.84 = 29.09/x
  3. Step 3: Cross multiply
    101.23x = 151.84 × 29.09
  4. Step 4: Simplify right side
    101.23x = 4,417.03
  5. Step 5: Solve for x
    x = 4,417.03/101.23
  6. Step 6: Final answer
    x = 43.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.