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Finding the Fourth Proportional to 53.56, 80.19 and 46.75

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Solution

The fourth proportional to 53.56, 80.19 and 46.75 is: 69.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.56 : 80.19 = 46.75 : x
  2. Step 2: Convert to fraction form
    53.56/80.19 = 46.75/x
  3. Step 3: Cross multiply
    53.56x = 80.19 × 46.75
  4. Step 4: Simplify right side
    53.56x = 3,748.88
  5. Step 5: Solve for x
    x = 3,748.88/53.56
  6. Step 6: Final answer
    x = 69.99

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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.