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Finding the Fourth Proportional to 25.14, 34.64 and 20.52

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Solution

The fourth proportional to 25.14, 34.64 and 20.52 is: 28.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.14 : 34.64 = 20.52 : x
  2. Step 2: Convert to fraction form
    25.14/34.64 = 20.52/x
  3. Step 3: Cross multiply
    25.14x = 34.64 × 20.52
  4. Step 4: Simplify right side
    25.14x = 710.81
  5. Step 5: Solve for x
    x = 710.81/25.14
  6. Step 6: Final answer
    x = 28.27

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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.