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Finding the Fourth Proportional to 145.80, 218.82 and 109.68

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Solution

The fourth proportional to 145.80, 218.82 and 109.68 is: 164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 218.82 = 109.68 : x
  2. Step 2: Convert to fraction form
    145.80/218.82 = 109.68/x
  3. Step 3: Cross multiply
    145.80x = 218.82 × 109.68
  4. Step 4: Simplify right side
    145.80x = 24,000.18
  5. Step 5: Solve for x
    x = 24,000.18/145.80
  6. Step 6: Final answer
    x = 164.61

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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.