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Finding the Fourth Proportional to 111.87, 154.34 and 75.00

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Solution

The fourth proportional to 111.87, 154.34 and 75.00 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 154.34 = 75.00 : x
  2. Step 2: Convert to fraction form
    111.87/154.34 = 75.00/x
  3. Step 3: Cross multiply
    111.87x = 154.34 × 75.00
  4. Step 4: Simplify right side
    111.87x = 11,574.35
  5. Step 5: Solve for x
    x = 11,574.35/111.87
  6. Step 6: Final answer
    x = 103.46

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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.