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Finding the Fourth Proportional to 137.51, 189.77 and 75.33

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Solution

The fourth proportional to 137.51, 189.77 and 75.33 is: 103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 189.77 = 75.33 : x
  2. Step 2: Convert to fraction form
    137.51/189.77 = 75.33/x
  3. Step 3: Cross multiply
    137.51x = 189.77 × 75.33
  4. Step 4: Simplify right side
    137.51x = 14,295.66
  5. Step 5: Solve for x
    x = 14,295.66/137.51
  6. Step 6: Final answer
    x = 103.96

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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.