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Finding the Fourth Proportional to 169.04, 253.62 and 77.75

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Solution

The fourth proportional to 169.04, 253.62 and 77.75 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 253.62 = 77.75 : x
  2. Step 2: Convert to fraction form
    169.04/253.62 = 77.75/x
  3. Step 3: Cross multiply
    169.04x = 253.62 × 77.75
  4. Step 4: Simplify right side
    169.04x = 19,717.69
  5. Step 5: Solve for x
    x = 19,717.69/169.04
  6. Step 6: Final answer
    x = 116.65

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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.