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Finding the Fourth Proportional to 120.70, 166.58 and 76.46

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Solution

The fourth proportional to 120.70, 166.58 and 76.46 is: 105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.70 : 166.58 = 76.46 : x
  2. Step 2: Convert to fraction form
    120.70/166.58 = 76.46/x
  3. Step 3: Cross multiply
    120.70x = 166.58 × 76.46
  4. Step 4: Simplify right side
    120.70x = 12,736.71
  5. Step 5: Solve for x
    x = 12,736.71/120.70
  6. Step 6: Final answer
    x = 105.52

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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.