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Finding the Fourth Proportional to 146.94, 220.51 and 65.75

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Solution

The fourth proportional to 146.94, 220.51 and 65.75 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 220.51 = 65.75 : x
  2. Step 2: Convert to fraction form
    146.94/220.51 = 65.75/x
  3. Step 3: Cross multiply
    146.94x = 220.51 × 65.75
  4. Step 4: Simplify right side
    146.94x = 14,498.92
  5. Step 5: Solve for x
    x = 14,498.92/146.94
  6. Step 6: Final answer
    x = 98.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.