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Finding the Fourth Proportional to 125.46, 188.25 and 71.39

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Solution

The fourth proportional to 125.46, 188.25 and 71.39 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.46 : 188.25 = 71.39 : x
  2. Step 2: Convert to fraction form
    125.46/188.25 = 71.39/x
  3. Step 3: Cross multiply
    125.46x = 188.25 × 71.39
  4. Step 4: Simplify right side
    125.46x = 13,439.37
  5. Step 5: Solve for x
    x = 13,439.37/125.46
  6. Step 6: Final answer
    x = 107.12

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