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Finding the Fourth Proportional to 146.42, 201.84 and 105.02

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Solution

The fourth proportional to 146.42, 201.84 and 105.02 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 201.84 = 105.02 : x
  2. Step 2: Convert to fraction form
    146.42/201.84 = 105.02/x
  3. Step 3: Cross multiply
    146.42x = 201.84 × 105.02
  4. Step 4: Simplify right side
    146.42x = 21,197.24
  5. Step 5: Solve for x
    x = 21,197.24/146.42
  6. Step 6: Final answer
    x = 144.77

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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.