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Finding the Fourth Proportional to 75.46, 112.34 and 71.96

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Solution

The fourth proportional to 75.46, 112.34 and 71.96 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 112.34 = 71.96 : x
  2. Step 2: Convert to fraction form
    75.46/112.34 = 71.96/x
  3. Step 3: Cross multiply
    75.46x = 112.34 × 71.96
  4. Step 4: Simplify right side
    75.46x = 8,083.99
  5. Step 5: Solve for x
    x = 8,083.99/75.46
  6. Step 6: Final answer
    x = 107.13

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Why These Related Problems?

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