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Finding the Fourth Proportional to 29.96, 44.58 and 29.80

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Solution

The fourth proportional to 29.96, 44.58 and 29.80 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 44.58 = 29.80 : x
  2. Step 2: Convert to fraction form
    29.96/44.58 = 29.80/x
  3. Step 3: Cross multiply
    29.96x = 44.58 × 29.80
  4. Step 4: Simplify right side
    29.96x = 1,328.48
  5. Step 5: Solve for x
    x = 1,328.48/29.96
  6. Step 6: Final answer
    x = 44.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.