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Finding the Fourth Proportional to 35.20, 48.64 and 25.48

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Solution

The fourth proportional to 35.20, 48.64 and 25.48 is: 35.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.20 : 48.64 = 25.48 : x
  2. Step 2: Convert to fraction form
    35.20/48.64 = 25.48/x
  3. Step 3: Cross multiply
    35.20x = 48.64 × 25.48
  4. Step 4: Simplify right side
    35.20x = 1,239.35
  5. Step 5: Solve for x
    x = 1,239.35/35.20
  6. Step 6: Final answer
    x = 35.21

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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.