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Finding the Fourth Proportional to 53.82, 74.28 and 33.09

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Solution

The fourth proportional to 53.82, 74.28 and 33.09 is: 45.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.82 : 74.28 = 33.09 : x
  2. Step 2: Convert to fraction form
    53.82/74.28 = 33.09/x
  3. Step 3: Cross multiply
    53.82x = 74.28 × 33.09
  4. Step 4: Simplify right side
    53.82x = 2,457.93
  5. Step 5: Solve for x
    x = 2,457.93/53.82
  6. Step 6: Final answer
    x = 45.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.