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Finding the Fourth Proportional to 145.98, 218.73 and 105.21

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Solution

The fourth proportional to 145.98, 218.73 and 105.21 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.98 : 218.73 = 105.21 : x
  2. Step 2: Convert to fraction form
    145.98/218.73 = 105.21/x
  3. Step 3: Cross multiply
    145.98x = 218.73 × 105.21
  4. Step 4: Simplify right side
    145.98x = 23,012.58
  5. Step 5: Solve for x
    x = 23,012.58/145.98
  6. Step 6: Final answer
    x = 157.64

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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.