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Finding the Fourth Proportional to 75.22, 112.54 and 52.43

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Solution

The fourth proportional to 75.22, 112.54 and 52.43 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 112.54 = 52.43 : x
  2. Step 2: Convert to fraction form
    75.22/112.54 = 52.43/x
  3. Step 3: Cross multiply
    75.22x = 112.54 × 52.43
  4. Step 4: Simplify right side
    75.22x = 5,900.21
  5. Step 5: Solve for x
    x = 5,900.21/75.22
  6. Step 6: Final answer
    x = 78.44

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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.