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Finding the Fourth Proportional to 146.71, 219.95 and 73.59

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Solution

The fourth proportional to 146.71, 219.95 and 73.59 is: 110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.71 : 219.95 = 73.59 : x
  2. Step 2: Convert to fraction form
    146.71/219.95 = 73.59/x
  3. Step 3: Cross multiply
    146.71x = 219.95 × 73.59
  4. Step 4: Simplify right side
    146.71x = 16,186.12
  5. Step 5: Solve for x
    x = 16,186.12/146.71
  6. Step 6: Final answer
    x = 110.33

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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.