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Finding the Fourth Proportional to 28.85, 39.75 and 24.50

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Solution

The fourth proportional to 28.85, 39.75 and 24.50 is: 33.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.85 : 39.75 = 24.50 : x
  2. Step 2: Convert to fraction form
    28.85/39.75 = 24.50/x
  3. Step 3: Cross multiply
    28.85x = 39.75 × 24.50
  4. Step 4: Simplify right side
    28.85x = 973.68
  5. Step 5: Solve for x
    x = 973.68/28.85
  6. Step 6: Final answer
    x = 33.76

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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.