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Finding the Fourth Proportional to 125.76, 173.57 and 76.67

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Solution

The fourth proportional to 125.76, 173.57 and 76.67 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.76 : 173.57 = 76.67 : x
  2. Step 2: Convert to fraction form
    125.76/173.57 = 76.67/x
  3. Step 3: Cross multiply
    125.76x = 173.57 × 76.67
  4. Step 4: Simplify right side
    125.76x = 13,307.01
  5. Step 5: Solve for x
    x = 13,307.01/125.76
  6. Step 6: Final answer
    x = 105.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.