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Finding the Fourth Proportional to 169.16, 233.44 and 106.98

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Solution

The fourth proportional to 169.16, 233.44 and 106.98 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.44 = 106.98 : x
  2. Step 2: Convert to fraction form
    169.16/233.44 = 106.98/x
  3. Step 3: Cross multiply
    169.16x = 233.44 × 106.98
  4. Step 4: Simplify right side
    169.16x = 24,972.24
  5. Step 5: Solve for x
    x = 24,972.24/169.16
  6. Step 6: Final answer
    x = 147.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.