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Finding the Fourth Proportional to 146.05, 201.56 and 102.40

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Solution

The fourth proportional to 146.05, 201.56 and 102.40 is: 141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 201.56 = 102.40 : x
  2. Step 2: Convert to fraction form
    146.05/201.56 = 102.40/x
  3. Step 3: Cross multiply
    146.05x = 201.56 × 102.40
  4. Step 4: Simplify right side
    146.05x = 20,638.73
  5. Step 5: Solve for x
    x = 20,638.73/146.05
  6. Step 6: Final answer
    x = 141.32

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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.