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Finding the Fourth Proportional to 33.01, 45.77 and 32.00

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Solution

The fourth proportional to 33.01, 45.77 and 32.00 is: 44.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.01 : 45.77 = 32.00 : x
  2. Step 2: Convert to fraction form
    33.01/45.77 = 32.00/x
  3. Step 3: Cross multiply
    33.01x = 45.77 × 32.00
  4. Step 4: Simplify right side
    33.01x = 1,464.25
  5. Step 5: Solve for x
    x = 1,464.25/33.01
  6. Step 6: Final answer
    x = 44.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.