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Finding the Fourth Proportional to 137.84, 190.44 and 110.48

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Solution

The fourth proportional to 137.84, 190.44 and 110.48 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 190.44 = 110.48 : x
  2. Step 2: Convert to fraction form
    137.84/190.44 = 110.48/x
  3. Step 3: Cross multiply
    137.84x = 190.44 × 110.48
  4. Step 4: Simplify right side
    137.84x = 21,039.81
  5. Step 5: Solve for x
    x = 21,039.81/137.84
  6. Step 6: Final answer
    x = 152.64

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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.