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Finding the Fourth Proportional to 29.56, 40.81 and 19.89

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Solution

The fourth proportional to 29.56, 40.81 and 19.89 is: 27.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.56 : 40.81 = 19.89 : x
  2. Step 2: Convert to fraction form
    29.56/40.81 = 19.89/x
  3. Step 3: Cross multiply
    29.56x = 40.81 × 19.89
  4. Step 4: Simplify right side
    29.56x = 811.71
  5. Step 5: Solve for x
    x = 811.71/29.56
  6. Step 6: Final answer
    x = 27.46

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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.