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Finding the Fourth Proportional to 29.64, 44.46 and 10.38

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Solution

The fourth proportional to 29.64, 44.46 and 10.38 is: 15.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 44.46 = 10.38 : x
  2. Step 2: Convert to fraction form
    29.64/44.46 = 10.38/x
  3. Step 3: Cross multiply
    29.64x = 44.46 × 10.38
  4. Step 4: Simplify right side
    29.64x = 461.44
  5. Step 5: Solve for x
    x = 461.44/29.64
  6. Step 6: Final answer
    x = 15.57

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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.