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Finding the Fourth Proportional to 111.79, 154.20 and 89.65

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Solution

The fourth proportional to 111.79, 154.20 and 89.65 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.79 : 154.20 = 89.65 : x
  2. Step 2: Convert to fraction form
    111.79/154.20 = 89.65/x
  3. Step 3: Cross multiply
    111.79x = 154.20 × 89.65
  4. Step 4: Simplify right side
    111.79x = 13,824.03
  5. Step 5: Solve for x
    x = 13,824.03/111.79
  6. Step 6: Final answer
    x = 123.66

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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.