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Finding the Fourth Proportional to 111.87, 154.39 and 65.24

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Solution

The fourth proportional to 111.87, 154.39 and 65.24 is: 90.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 154.39 = 65.24 : x
  2. Step 2: Convert to fraction form
    111.87/154.39 = 65.24/x
  3. Step 3: Cross multiply
    111.87x = 154.39 × 65.24
  4. Step 4: Simplify right side
    111.87x = 10,072.40
  5. Step 5: Solve for x
    x = 10,072.40/111.87
  6. Step 6: Final answer
    x = 90.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.