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Finding the Fourth Proportional to 29.72, 40.93 and 24.52

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Solution

The fourth proportional to 29.72, 40.93 and 24.52 is: 33.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.72 : 40.93 = 24.52 : x
  2. Step 2: Convert to fraction form
    29.72/40.93 = 24.52/x
  3. Step 3: Cross multiply
    29.72x = 40.93 × 24.52
  4. Step 4: Simplify right side
    29.72x = 1,003.60
  5. Step 5: Solve for x
    x = 1,003.60/29.72
  6. Step 6: Final answer
    x = 33.77

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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.