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Finding the Fourth Proportional to 125.44, 187.93 and 82.05

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Solution

The fourth proportional to 125.44, 187.93 and 82.05 is: 122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.44 : 187.93 = 82.05 : x
  2. Step 2: Convert to fraction form
    125.44/187.93 = 82.05/x
  3. Step 3: Cross multiply
    125.44x = 187.93 × 82.05
  4. Step 4: Simplify right side
    125.44x = 15,419.05
  5. Step 5: Solve for x
    x = 15,419.05/125.44
  6. Step 6: Final answer
    x = 122.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.