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Finding the Fourth Proportional to 146.47, 202.11 and 87.46

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Solution

The fourth proportional to 146.47, 202.11 and 87.46 is: 120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 202.11 = 87.46 : x
  2. Step 2: Convert to fraction form
    146.47/202.11 = 87.46/x
  3. Step 3: Cross multiply
    146.47x = 202.11 × 87.46
  4. Step 4: Simplify right side
    146.47x = 17,676.54
  5. Step 5: Solve for x
    x = 17,676.54/146.47
  6. Step 6: Final answer
    x = 120.68

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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.