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Finding the Fourth Proportional to 145.90, 218.44 and 109.99

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Solution

The fourth proportional to 145.90, 218.44 and 109.99 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 218.44 = 109.99 : x
  2. Step 2: Convert to fraction form
    145.90/218.44 = 109.99/x
  3. Step 3: Cross multiply
    145.90x = 218.44 × 109.99
  4. Step 4: Simplify right side
    145.90x = 24,026.22
  5. Step 5: Solve for x
    x = 24,026.22/145.90
  6. Step 6: Final answer
    x = 164.68

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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.