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Finding the Fourth Proportional to 53.45, 80.00 and 32.09

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Solution

The fourth proportional to 53.45, 80.00 and 32.09 is: 48.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.45 : 80.00 = 32.09 : x
  2. Step 2: Convert to fraction form
    53.45/80.00 = 32.09/x
  3. Step 3: Cross multiply
    53.45x = 80.00 × 32.09
  4. Step 4: Simplify right side
    53.45x = 2,567.04
  5. Step 5: Solve for x
    x = 2,567.04/53.45
  6. Step 6: Final answer
    x = 48.03

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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.