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Finding the Fourth Proportional to 35.54, 49.01 and 23.24

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Solution

The fourth proportional to 35.54, 49.01 and 23.24 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.54 : 49.01 = 23.24 : x
  2. Step 2: Convert to fraction form
    35.54/49.01 = 23.24/x
  3. Step 3: Cross multiply
    35.54x = 49.01 × 23.24
  4. Step 4: Simplify right side
    35.54x = 1,138.99
  5. Step 5: Solve for x
    x = 1,138.99/35.54
  6. Step 6: Final answer
    x = 32.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.