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Finding the Fourth Proportional to 29.40, 43.92 and 24

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Solution

The fourth proportional to 29.40, 43.92 and 24 is: 35.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.40 : 43.92 = 24 : x
  2. Step 2: Convert to fraction form
    29.40/43.92 = 24/x
  3. Step 3: Cross multiply
    29.40x = 43.92 × 24
  4. Step 4: Simplify right side
    29.40x = 1,054.08
  5. Step 5: Solve for x
    x = 1,054.08/29.40
  6. Step 6: Final answer
    x = 35.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.