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Finding the Fourth Proportional to 23.90, 33.08 and 22.77

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Solution

The fourth proportional to 23.90, 33.08 and 22.77 is: 31.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.90 : 33.08 = 22.77 : x
  2. Step 2: Convert to fraction form
    23.90/33.08 = 22.77/x
  3. Step 3: Cross multiply
    23.90x = 33.08 × 22.77
  4. Step 4: Simplify right side
    23.90x = 753.12
  5. Step 5: Solve for x
    x = 753.12/23.90
  6. Step 6: Final answer
    x = 31.52

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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.