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Finding the Fourth Proportional to 53.72, 80.60 and 29.64

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Solution

The fourth proportional to 53.72, 80.60 and 29.64 is: 44.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.72 : 80.60 = 29.64 : x
  2. Step 2: Convert to fraction form
    53.72/80.60 = 29.64/x
  3. Step 3: Cross multiply
    53.72x = 80.60 × 29.64
  4. Step 4: Simplify right side
    53.72x = 2,388.98
  5. Step 5: Solve for x
    x = 2,388.98/53.72
  6. Step 6: Final answer
    x = 44.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.