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Finding the Fourth Proportional to 168.93, 253.41 and 53.38

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Solution

The fourth proportional to 168.93, 253.41 and 53.38 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.93 : 253.41 = 53.38 : x
  2. Step 2: Convert to fraction form
    168.93/253.41 = 53.38/x
  3. Step 3: Cross multiply
    168.93x = 253.41 × 53.38
  4. Step 4: Simplify right side
    168.93x = 13,526.76
  5. Step 5: Solve for x
    x = 13,526.76/168.93
  6. Step 6: Final answer
    x = 80.07

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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.