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Finding the Fourth Proportional to 120.63, 166.43 and 70.80

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Solution

The fourth proportional to 120.63, 166.43 and 70.80 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.63 : 166.43 = 70.80 : x
  2. Step 2: Convert to fraction form
    120.63/166.43 = 70.80/x
  3. Step 3: Cross multiply
    120.63x = 166.43 × 70.80
  4. Step 4: Simplify right side
    120.63x = 11,782.06
  5. Step 5: Solve for x
    x = 11,782.06/120.63
  6. Step 6: Final answer
    x = 97.68

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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.