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Finding the Fourth Proportional to 35.49, 49.00 and 23.23

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Solution

The fourth proportional to 35.49, 49.00 and 23.23 is: 32.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.49 : 49.00 = 23.23 : x
  2. Step 2: Convert to fraction form
    35.49/49.00 = 23.23/x
  3. Step 3: Cross multiply
    35.49x = 49.00 × 23.23
  4. Step 4: Simplify right side
    35.49x = 1,138.21
  5. Step 5: Solve for x
    x = 1,138.21/35.49
  6. Step 6: Final answer
    x = 32.07

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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.