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Finding the Fourth Proportional to 111.65, 154.06 and 65.03

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Solution

The fourth proportional to 111.65, 154.06 and 65.03 is: 89.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.65 : 154.06 = 65.03 : x
  2. Step 2: Convert to fraction form
    111.65/154.06 = 65.03/x
  3. Step 3: Cross multiply
    111.65x = 154.06 × 65.03
  4. Step 4: Simplify right side
    111.65x = 10,017.59
  5. Step 5: Solve for x
    x = 10,017.59/111.65
  6. Step 6: Final answer
    x = 89.73

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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.