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Finding the Fourth Proportional to 29.68, 44.52 and 10.42

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Solution

The fourth proportional to 29.68, 44.52 and 10.42 is: 15.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 44.52 = 10.42 : x
  2. Step 2: Convert to fraction form
    29.68/44.52 = 10.42/x
  3. Step 3: Cross multiply
    29.68x = 44.52 × 10.42
  4. Step 4: Simplify right side
    29.68x = 463.75
  5. Step 5: Solve for x
    x = 463.75/29.68
  6. Step 6: Final answer
    x = 15.63

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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.