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Finding the Fourth Proportional to 53.95, 74.48 and 33.25

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Solution

The fourth proportional to 53.95, 74.48 and 33.25 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.95 : 74.48 = 33.25 : x
  2. Step 2: Convert to fraction form
    53.95/74.48 = 33.25/x
  3. Step 3: Cross multiply
    53.95x = 74.48 × 33.25
  4. Step 4: Simplify right side
    53.95x = 2,476.85
  5. Step 5: Solve for x
    x = 2,476.85/53.95
  6. Step 6: Final answer
    x = 45.91

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