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Finding the Fourth Proportional to 146.23, 219.38 and 59.60

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Solution

The fourth proportional to 146.23, 219.38 and 59.60 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 219.38 = 59.60 : x
  2. Step 2: Convert to fraction form
    146.23/219.38 = 59.60/x
  3. Step 3: Cross multiply
    146.23x = 219.38 × 59.60
  4. Step 4: Simplify right side
    146.23x = 13,075.05
  5. Step 5: Solve for x
    x = 13,075.05/146.23
  6. Step 6: Final answer
    x = 89.41

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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.