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Finding the Fourth Proportional to 120.84, 182.16 and 113.01

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Solution

The fourth proportional to 120.84, 182.16 and 113.01 is: 170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 182.16 = 113.01 : x
  2. Step 2: Convert to fraction form
    120.84/182.16 = 113.01/x
  3. Step 3: Cross multiply
    120.84x = 182.16 × 113.01
  4. Step 4: Simplify right side
    120.84x = 20,585.90
  5. Step 5: Solve for x
    x = 20,585.90/120.84
  6. Step 6: Final answer
    x = 170.36

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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.