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Finding the Fourth Proportional to 123.34, 169.50 and 111.19

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Solution

The fourth proportional to 123.34, 169.50 and 111.19 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 169.50 = 111.19 : x
  2. Step 2: Convert to fraction form
    123.34/169.50 = 111.19/x
  3. Step 3: Cross multiply
    123.34x = 169.50 × 111.19
  4. Step 4: Simplify right side
    123.34x = 18,846.71
  5. Step 5: Solve for x
    x = 18,846.71/123.34
  6. Step 6: Final answer
    x = 152.80

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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.