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Finding the Fourth Proportional to 53.33, 80 and 32.09

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Solution

The fourth proportional to 53.33, 80 and 32.09 is: 48.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.33 : 80 = 32.09 : x
  2. Step 2: Convert to fraction form
    53.33/80 = 32.09/x
  3. Step 3: Cross multiply
    53.33x = 80 × 32.09
  4. Step 4: Simplify right side
    53.33x = 2,567.20
  5. Step 5: Solve for x
    x = 2,567.20/53.33
  6. Step 6: Final answer
    x = 48.14

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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.