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Finding the Fourth Proportional to 125.34, 187.11 and 111.67

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Solution

The fourth proportional to 125.34, 187.11 and 111.67 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.34 : 187.11 = 111.67 : x
  2. Step 2: Convert to fraction form
    125.34/187.11 = 111.67/x
  3. Step 3: Cross multiply
    125.34x = 187.11 × 111.67
  4. Step 4: Simplify right side
    125.34x = 20,893.64
  5. Step 5: Solve for x
    x = 20,893.64/125.34
  6. Step 6: Final answer
    x = 166.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.