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Finding the Fourth Proportional to 146.10, 201.57 and 120.06

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Solution

The fourth proportional to 146.10, 201.57 and 120.06 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.10 : 201.57 = 120.06 : x
  2. Step 2: Convert to fraction form
    146.10/201.57 = 120.06/x
  3. Step 3: Cross multiply
    146.10x = 201.57 × 120.06
  4. Step 4: Simplify right side
    146.10x = 24,200.49
  5. Step 5: Solve for x
    x = 24,200.49/146.10
  6. Step 6: Final answer
    x = 165.64

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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.