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Finding the Fourth Proportional to 125.25, 171.78 and 110.67

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Solution

The fourth proportional to 125.25, 171.78 and 110.67 is: 151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.25 : 171.78 = 110.67 : x
  2. Step 2: Convert to fraction form
    125.25/171.78 = 110.67/x
  3. Step 3: Cross multiply
    125.25x = 171.78 × 110.67
  4. Step 4: Simplify right side
    125.25x = 19,010.89
  5. Step 5: Solve for x
    x = 19,010.89/125.25
  6. Step 6: Final answer
    x = 151.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.