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Finding the Fourth Proportional to 123.61, 169.82 and 110.67

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Solution

The fourth proportional to 123.61, 169.82 and 110.67 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.61 : 169.82 = 110.67 : x
  2. Step 2: Convert to fraction form
    123.61/169.82 = 110.67/x
  3. Step 3: Cross multiply
    123.61x = 169.82 × 110.67
  4. Step 4: Simplify right side
    123.61x = 18,792.85
  5. Step 5: Solve for x
    x = 18,792.85/123.61
  6. Step 6: Final answer
    x = 152.03

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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.