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Finding the Fourth Proportional to 137.40, 189.62 and 75.23

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Solution

The fourth proportional to 137.40, 189.62 and 75.23 is: 103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 189.62 = 75.23 : x
  2. Step 2: Convert to fraction form
    137.40/189.62 = 75.23/x
  3. Step 3: Cross multiply
    137.40x = 189.62 × 75.23
  4. Step 4: Simplify right side
    137.40x = 14,265.10
  5. Step 5: Solve for x
    x = 14,265.10/137.40
  6. Step 6: Final answer
    x = 103.82

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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.