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Finding the Fourth Proportional to 169.09, 253.33 and 100.64

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Solution

The fourth proportional to 169.09, 253.33 and 100.64 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 253.33 = 100.64 : x
  2. Step 2: Convert to fraction form
    169.09/253.33 = 100.64/x
  3. Step 3: Cross multiply
    169.09x = 253.33 × 100.64
  4. Step 4: Simplify right side
    169.09x = 25,495.51
  5. Step 5: Solve for x
    x = 25,495.51/169.09
  6. Step 6: Final answer
    x = 150.78

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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.