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Finding the Fourth Proportional to 111.85, 154.34 and 65.21

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Solution

The fourth proportional to 111.85, 154.34 and 65.21 is: 89.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.85 : 154.34 = 65.21 : x
  2. Step 2: Convert to fraction form
    111.85/154.34 = 65.21/x
  3. Step 3: Cross multiply
    111.85x = 154.34 × 65.21
  4. Step 4: Simplify right side
    111.85x = 10,063.66
  5. Step 5: Solve for x
    x = 10,063.66/111.85
  6. Step 6: Final answer
    x = 89.98

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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.