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Finding the Fourth Proportional to 25.00, 37.46 and 13.59

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Solution

The fourth proportional to 25.00, 37.46 and 13.59 is: 20.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.00 : 37.46 = 13.59 : x
  2. Step 2: Convert to fraction form
    25.00/37.46 = 13.59/x
  3. Step 3: Cross multiply
    25.00x = 37.46 × 13.59
  4. Step 4: Simplify right side
    25.00x = 509.12
  5. Step 5: Solve for x
    x = 509.12/25.00
  6. Step 6: Final answer
    x = 20.37

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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.