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Finding the Fourth Proportional to 169.02, 253.23 and 114.05

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Solution

The fourth proportional to 169.02, 253.23 and 114.05 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 253.23 = 114.05 : x
  2. Step 2: Convert to fraction form
    169.02/253.23 = 114.05/x
  3. Step 3: Cross multiply
    169.02x = 253.23 × 114.05
  4. Step 4: Simplify right side
    169.02x = 28,880.88
  5. Step 5: Solve for x
    x = 28,880.88/169.02
  6. Step 6: Final answer
    x = 170.87

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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.