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Finding the Fourth Proportional to 29.51, 40.82 and 24.18

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Solution

The fourth proportional to 29.51, 40.82 and 24.18 is: 33.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.51 : 40.82 = 24.18 : x
  2. Step 2: Convert to fraction form
    29.51/40.82 = 24.18/x
  3. Step 3: Cross multiply
    29.51x = 40.82 × 24.18
  4. Step 4: Simplify right side
    29.51x = 987.09
  5. Step 5: Solve for x
    x = 987.09/29.51
  6. Step 6: Final answer
    x = 33.45

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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.