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Finding the Fourth Proportional to 146.57, 219.29 and 90.98

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Solution

The fourth proportional to 146.57, 219.29 and 90.98 is: 136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 219.29 = 90.98 : x
  2. Step 2: Convert to fraction form
    146.57/219.29 = 90.98/x
  3. Step 3: Cross multiply
    146.57x = 219.29 × 90.98
  4. Step 4: Simplify right side
    146.57x = 19,951.78
  5. Step 5: Solve for x
    x = 19,951.78/146.57
  6. Step 6: Final answer
    x = 136.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.