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Finding the Fourth Proportional to 145.52, 218.32 and 72.44

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Solution

The fourth proportional to 145.52, 218.32 and 72.44 is: 108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.52 : 218.32 = 72.44 : x
  2. Step 2: Convert to fraction form
    145.52/218.32 = 72.44/x
  3. Step 3: Cross multiply
    145.52x = 218.32 × 72.44
  4. Step 4: Simplify right side
    145.52x = 15,815.05
  5. Step 5: Solve for x
    x = 15,815.05/145.52
  6. Step 6: Final answer
    x = 108.68

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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.