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Finding the Fourth Proportional to 120.79, 182.08 and 100.64

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Solution

The fourth proportional to 120.79, 182.08 and 100.64 is: 151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.79 : 182.08 = 100.64 : x
  2. Step 2: Convert to fraction form
    120.79/182.08 = 100.64/x
  3. Step 3: Cross multiply
    120.79x = 182.08 × 100.64
  4. Step 4: Simplify right side
    120.79x = 18,323.37
  5. Step 5: Solve for x
    x = 18,323.37/120.79
  6. Step 6: Final answer
    x = 151.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.