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Finding the Fourth Proportional to 111.90, 154.23 and 93.42

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Solution

The fourth proportional to 111.90, 154.23 and 93.42 is: 128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 154.23 = 93.42 : x
  2. Step 2: Convert to fraction form
    111.90/154.23 = 93.42/x
  3. Step 3: Cross multiply
    111.90x = 154.23 × 93.42
  4. Step 4: Simplify right side
    111.90x = 14,408.17
  5. Step 5: Solve for x
    x = 14,408.17/111.90
  6. Step 6: Final answer
    x = 128.76

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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.