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Finding the Fourth Proportional to 146.56, 219.38 and 97.72

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Solution

The fourth proportional to 146.56, 219.38 and 97.72 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.56 : 219.38 = 97.72 : x
  2. Step 2: Convert to fraction form
    146.56/219.38 = 97.72/x
  3. Step 3: Cross multiply
    146.56x = 219.38 × 97.72
  4. Step 4: Simplify right side
    146.56x = 21,437.81
  5. Step 5: Solve for x
    x = 21,437.81/146.56
  6. Step 6: Final answer
    x = 146.27

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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.