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Finding the Fourth Proportional to 29.54, 44.13 and 23.46

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Solution

The fourth proportional to 29.54, 44.13 and 23.46 is: 35.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.54 : 44.13 = 23.46 : x
  2. Step 2: Convert to fraction form
    29.54/44.13 = 23.46/x
  3. Step 3: Cross multiply
    29.54x = 44.13 × 23.46
  4. Step 4: Simplify right side
    29.54x = 1,035.29
  5. Step 5: Solve for x
    x = 1,035.29/29.54
  6. Step 6: Final answer
    x = 35.05

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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.