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Finding the Fourth Proportional to 25.80, 38.28 and 25.32

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Solution

The fourth proportional to 25.80, 38.28 and 25.32 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.80 : 38.28 = 25.32 : x
  2. Step 2: Convert to fraction form
    25.80/38.28 = 25.32/x
  3. Step 3: Cross multiply
    25.80x = 38.28 × 25.32
  4. Step 4: Simplify right side
    25.80x = 969.25
  5. Step 5: Solve for x
    x = 969.25/25.80
  6. Step 6: Final answer
    x = 37.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.