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Finding the Fourth Proportional to 30.25, 41.75 and 17.32

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Solution

The fourth proportional to 30.25, 41.75 and 17.32 is: 23.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.25 : 41.75 = 17.32 : x
  2. Step 2: Convert to fraction form
    30.25/41.75 = 17.32/x
  3. Step 3: Cross multiply
    30.25x = 41.75 × 17.32
  4. Step 4: Simplify right side
    30.25x = 723.11
  5. Step 5: Solve for x
    x = 723.11/30.25
  6. Step 6: Final answer
    x = 23.90

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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.