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Finding the Fourth Proportional to 111.83, 154.08 and 100.17

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Solution

The fourth proportional to 111.83, 154.08 and 100.17 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.83 : 154.08 = 100.17 : x
  2. Step 2: Convert to fraction form
    111.83/154.08 = 100.17/x
  3. Step 3: Cross multiply
    111.83x = 154.08 × 100.17
  4. Step 4: Simplify right side
    111.83x = 15,434.19
  5. Step 5: Solve for x
    x = 15,434.19/111.83
  6. Step 6: Final answer
    x = 138.02

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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.