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Finding the Fourth Proportional to 169.08, 253.70 and 53.54

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Solution

The fourth proportional to 169.08, 253.70 and 53.54 is: 80.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.08 : 253.70 = 53.54 : x
  2. Step 2: Convert to fraction form
    169.08/253.70 = 53.54/x
  3. Step 3: Cross multiply
    169.08x = 253.70 × 53.54
  4. Step 4: Simplify right side
    169.08x = 13,583.10
  5. Step 5: Solve for x
    x = 13,583.10/169.08
  6. Step 6: Final answer
    x = 80.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.