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Finding the Fourth Proportional to 29.68, 40.93 and 19.30

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Solution

The fourth proportional to 29.68, 40.93 and 19.30 is: 26.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 40.93 = 19.30 : x
  2. Step 2: Convert to fraction form
    29.68/40.93 = 19.30/x
  3. Step 3: Cross multiply
    29.68x = 40.93 × 19.30
  4. Step 4: Simplify right side
    29.68x = 789.95
  5. Step 5: Solve for x
    x = 789.95/29.68
  6. Step 6: Final answer
    x = 26.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.