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Finding the Fourth Proportional to 35.76, 53.63 and 33.23

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Solution

The fourth proportional to 35.76, 53.63 and 33.23 is: 49.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.76 : 53.63 = 33.23 : x
  2. Step 2: Convert to fraction form
    35.76/53.63 = 33.23/x
  3. Step 3: Cross multiply
    35.76x = 53.63 × 33.23
  4. Step 4: Simplify right side
    35.76x = 1,781.69
  5. Step 5: Solve for x
    x = 1,781.69/35.76
  6. Step 6: Final answer
    x = 49.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.