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Finding the Fourth Proportional to 111.94, 154.43 and 77.02

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Solution

The fourth proportional to 111.94, 154.43 and 77.02 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 154.43 = 77.02 : x
  2. Step 2: Convert to fraction form
    111.94/154.43 = 77.02/x
  3. Step 3: Cross multiply
    111.94x = 154.43 × 77.02
  4. Step 4: Simplify right side
    111.94x = 11,894.10
  5. Step 5: Solve for x
    x = 11,894.10/111.94
  6. Step 6: Final answer
    x = 106.25

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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.