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Finding the Fourth Proportional to 146.03, 201.24 and 114.91

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Solution

The fourth proportional to 146.03, 201.24 and 114.91 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.03 : 201.24 = 114.91 : x
  2. Step 2: Convert to fraction form
    146.03/201.24 = 114.91/x
  3. Step 3: Cross multiply
    146.03x = 201.24 × 114.91
  4. Step 4: Simplify right side
    146.03x = 23,123.99
  5. Step 5: Solve for x
    x = 23,123.99/146.03
  6. Step 6: Final answer
    x = 158.36

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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.