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Finding the Fourth Proportional to 123.33, 169.63 and 106.99

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Solution

The fourth proportional to 123.33, 169.63 and 106.99 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.33 : 169.63 = 106.99 : x
  2. Step 2: Convert to fraction form
    123.33/169.63 = 106.99/x
  3. Step 3: Cross multiply
    123.33x = 169.63 × 106.99
  4. Step 4: Simplify right side
    123.33x = 18,148.71
  5. Step 5: Solve for x
    x = 18,148.71/123.33
  6. Step 6: Final answer
    x = 147.16

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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.