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Finding the Fourth Proportional to 111.81, 154.30 and 65.18

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Solution

The fourth proportional to 111.81, 154.30 and 65.18 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.81 : 154.30 = 65.18 : x
  2. Step 2: Convert to fraction form
    111.81/154.30 = 65.18/x
  3. Step 3: Cross multiply
    111.81x = 154.30 × 65.18
  4. Step 4: Simplify right side
    111.81x = 10,056.71
  5. Step 5: Solve for x
    x = 10,056.71/111.81
  6. Step 6: Final answer
    x = 89.95

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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.