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Finding the Fourth Proportional to 29.54, 44.34 and 16.02

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Solution

The fourth proportional to 29.54, 44.34 and 16.02 is: 24.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.54 : 44.34 = 16.02 : x
  2. Step 2: Convert to fraction form
    29.54/44.34 = 16.02/x
  3. Step 3: Cross multiply
    29.54x = 44.34 × 16.02
  4. Step 4: Simplify right side
    29.54x = 710.33
  5. Step 5: Solve for x
    x = 710.33/29.54
  6. Step 6: Final answer
    x = 24.05

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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.