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Finding the Fourth Proportional to 53.31, 73.66 and 50.50

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Solution

The fourth proportional to 53.31, 73.66 and 50.50 is: 69.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.31 : 73.66 = 50.50 : x
  2. Step 2: Convert to fraction form
    53.31/73.66 = 50.50/x
  3. Step 3: Cross multiply
    53.31x = 73.66 × 50.50
  4. Step 4: Simplify right side
    53.31x = 3,719.83
  5. Step 5: Solve for x
    x = 3,719.83/53.31
  6. Step 6: Final answer
    x = 69.78

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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.