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Finding the Fourth Proportional to 54.09, 74.64 and 32.25

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Solution

The fourth proportional to 54.09, 74.64 and 32.25 is: 44.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.09 : 74.64 = 32.25 : x
  2. Step 2: Convert to fraction form
    54.09/74.64 = 32.25/x
  3. Step 3: Cross multiply
    54.09x = 74.64 × 32.25
  4. Step 4: Simplify right side
    54.09x = 2,407.14
  5. Step 5: Solve for x
    x = 2,407.14/54.09
  6. Step 6: Final answer
    x = 44.50

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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.