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Finding the Fourth Proportional to 169.14, 233.34 and 106.95

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Solution

The fourth proportional to 169.14, 233.34 and 106.95 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 233.34 = 106.95 : x
  2. Step 2: Convert to fraction form
    169.14/233.34 = 106.95/x
  3. Step 3: Cross multiply
    169.14x = 233.34 × 106.95
  4. Step 4: Simplify right side
    169.14x = 24,955.71
  5. Step 5: Solve for x
    x = 24,955.71/169.14
  6. Step 6: Final answer
    x = 147.54

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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.