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Finding the Fourth Proportional to 75.36, 112.43 and 72.71

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Solution

The fourth proportional to 75.36, 112.43 and 72.71 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 112.43 = 72.71 : x
  2. Step 2: Convert to fraction form
    75.36/112.43 = 72.71/x
  3. Step 3: Cross multiply
    75.36x = 112.43 × 72.71
  4. Step 4: Simplify right side
    75.36x = 8,173.86
  5. Step 5: Solve for x
    x = 8,173.86/75.36
  6. Step 6: Final answer
    x = 108.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.