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Finding the Fourth Proportional to 75.02, 113.10 and 69.80

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Solution

The fourth proportional to 75.02, 113.10 and 69.80 is: 105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 113.10 = 69.80 : x
  2. Step 2: Convert to fraction form
    75.02/113.10 = 69.80/x
  3. Step 3: Cross multiply
    75.02x = 113.10 × 69.80
  4. Step 4: Simplify right side
    75.02x = 7,893.55
  5. Step 5: Solve for x
    x = 7,893.55/75.02
  6. Step 6: Final answer
    x = 105.23

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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.