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Finding the Fourth Proportional to 75.09, 113.11 and 70.53

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Solution

The fourth proportional to 75.09, 113.11 and 70.53 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 113.11 = 70.53 : x
  2. Step 2: Convert to fraction form
    75.09/113.11 = 70.53/x
  3. Step 3: Cross multiply
    75.09x = 113.11 × 70.53
  4. Step 4: Simplify right side
    75.09x = 7,977.68
  5. Step 5: Solve for x
    x = 7,977.68/75.09
  6. Step 6: Final answer
    x = 106.24

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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.