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Finding the Fourth Proportional to 53.14, 73.24 and 50.78

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Solution

The fourth proportional to 53.14, 73.24 and 50.78 is: 69.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 73.24 = 50.78 : x
  2. Step 2: Convert to fraction form
    53.14/73.24 = 50.78/x
  3. Step 3: Cross multiply
    53.14x = 73.24 × 50.78
  4. Step 4: Simplify right side
    53.14x = 3,719.13
  5. Step 5: Solve for x
    x = 3,719.13/53.14
  6. Step 6: Final answer
    x = 69.99

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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.