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Finding the Fourth Proportional to 75.26, 113.00 and 70.81

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Solution

The fourth proportional to 75.26, 113.00 and 70.81 is: 106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.26 : 113.00 = 70.81 : x
  2. Step 2: Convert to fraction form
    75.26/113.00 = 70.81/x
  3. Step 3: Cross multiply
    75.26x = 113.00 × 70.81
  4. Step 4: Simplify right side
    75.26x = 8,000.89
  5. Step 5: Solve for x
    x = 8,000.89/75.26
  6. Step 6: Final answer
    x = 106.31

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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.