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Finding the Fourth Proportional to 53.53, 80.19 and 42.69

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Solution

The fourth proportional to 53.53, 80.19 and 42.69 is: 63.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.53 : 80.19 = 42.69 : x
  2. Step 2: Convert to fraction form
    53.53/80.19 = 42.69/x
  3. Step 3: Cross multiply
    53.53x = 80.19 × 42.69
  4. Step 4: Simplify right side
    53.53x = 3,423.31
  5. Step 5: Solve for x
    x = 3,423.31/53.53
  6. Step 6: Final answer
    x = 63.95

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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.