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Finding the Fourth Proportional to 75.75, 114.16 and 71.34

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Solution

The fourth proportional to 75.75, 114.16 and 71.34 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 114.16 = 71.34 : x
  2. Step 2: Convert to fraction form
    75.75/114.16 = 71.34/x
  3. Step 3: Cross multiply
    75.75x = 114.16 × 71.34
  4. Step 4: Simplify right side
    75.75x = 8,144.17
  5. Step 5: Solve for x
    x = 8,144.17/75.75
  6. Step 6: Final answer
    x = 107.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.