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Finding the Fourth Proportional to 169.09, 253.62 and 47.36

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Solution

The fourth proportional to 169.09, 253.62 and 47.36 is: 71.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 253.62 = 47.36 : x
  2. Step 2: Convert to fraction form
    169.09/253.62 = 47.36/x
  3. Step 3: Cross multiply
    169.09x = 253.62 × 47.36
  4. Step 4: Simplify right side
    169.09x = 12,012.08
  5. Step 5: Solve for x
    x = 12,012.08/169.09
  6. Step 6: Final answer
    x = 71.04

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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.