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Finding the Fourth Proportional to 120.68, 166.52 and 74.05

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Solution

The fourth proportional to 120.68, 166.52 and 74.05 is: 102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.68 : 166.52 = 74.05 : x
  2. Step 2: Convert to fraction form
    120.68/166.52 = 74.05/x
  3. Step 3: Cross multiply
    120.68x = 166.52 × 74.05
  4. Step 4: Simplify right side
    120.68x = 12,330.81
  5. Step 5: Solve for x
    x = 12,330.81/120.68
  6. Step 6: Final answer
    x = 102.18

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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.