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Finding the Fourth Proportional to 35.33, 53.00 and 18.21

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Solution

The fourth proportional to 35.33, 53.00 and 18.21 is: 27.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.33 : 53.00 = 18.21 : x
  2. Step 2: Convert to fraction form
    35.33/53.00 = 18.21/x
  3. Step 3: Cross multiply
    35.33x = 53.00 × 18.21
  4. Step 4: Simplify right side
    35.33x = 964.77
  5. Step 5: Solve for x
    x = 964.77/35.33
  6. Step 6: Final answer
    x = 27.31

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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.