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Finding the Fourth Proportional to 54.64, 75.45 and 51.04

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Solution

The fourth proportional to 54.64, 75.45 and 51.04 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.64 : 75.45 = 51.04 : x
  2. Step 2: Convert to fraction form
    54.64/75.45 = 51.04/x
  3. Step 3: Cross multiply
    54.64x = 75.45 × 51.04
  4. Step 4: Simplify right side
    54.64x = 3,850.97
  5. Step 5: Solve for x
    x = 3,850.97/54.64
  6. Step 6: Final answer
    x = 70.48

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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.