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Finding the Fourth Proportional to 75.98, 114.03 and 70.31

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Solution

The fourth proportional to 75.98, 114.03 and 70.31 is: 105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 114.03 = 70.31 : x
  2. Step 2: Convert to fraction form
    75.98/114.03 = 70.31/x
  3. Step 3: Cross multiply
    75.98x = 114.03 × 70.31
  4. Step 4: Simplify right side
    75.98x = 8,017.73
  5. Step 5: Solve for x
    x = 8,017.73/75.98
  6. Step 6: Final answer
    x = 105.52

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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.