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Finding the Fourth Proportional to 50.00, 74.88 and 42.75

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Solution

The fourth proportional to 50.00, 74.88 and 42.75 is: 64.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.00 : 74.88 = 42.75 : x
  2. Step 2: Convert to fraction form
    50.00/74.88 = 42.75/x
  3. Step 3: Cross multiply
    50.00x = 74.88 × 42.75
  4. Step 4: Simplify right side
    50.00x = 3,201.12
  5. Step 5: Solve for x
    x = 3,201.12/50.00
  6. Step 6: Final answer
    x = 64.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.