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Finding the Fourth Proportional to 35.51, 49.14 and 33.23

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Solution

The fourth proportional to 35.51, 49.14 and 33.23 is: 45.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.51 : 49.14 = 33.23 : x
  2. Step 2: Convert to fraction form
    35.51/49.14 = 33.23/x
  3. Step 3: Cross multiply
    35.51x = 49.14 × 33.23
  4. Step 4: Simplify right side
    35.51x = 1,633.05
  5. Step 5: Solve for x
    x = 1,633.05/35.51
  6. Step 6: Final answer
    x = 45.99

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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.