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Finding the Fourth Proportional to 146.24, 201.65 and 102.57

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Solution

The fourth proportional to 146.24, 201.65 and 102.57 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.24 : 201.65 = 102.57 : x
  2. Step 2: Convert to fraction form
    146.24/201.65 = 102.57/x
  3. Step 3: Cross multiply
    146.24x = 201.65 × 102.57
  4. Step 4: Simplify right side
    146.24x = 20,683.24
  5. Step 5: Solve for x
    x = 20,683.24/146.24
  6. Step 6: Final answer
    x = 141.43

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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.