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Finding the Fourth Proportional to 122.84, 169.12 and 105.32

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Solution

The fourth proportional to 122.84, 169.12 and 105.32 is: 145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 169.12 = 105.32 : x
  2. Step 2: Convert to fraction form
    122.84/169.12 = 105.32/x
  3. Step 3: Cross multiply
    122.84x = 169.12 × 105.32
  4. Step 4: Simplify right side
    122.84x = 17,811.72
  5. Step 5: Solve for x
    x = 17,811.72/122.84
  6. Step 6: Final answer
    x = 145.00

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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.