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Finding the Fourth Proportional to 75.06, 113.16 and 74.22

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Solution

The fourth proportional to 75.06, 113.16 and 74.22 is: 111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.06 : 113.16 = 74.22 : x
  2. Step 2: Convert to fraction form
    75.06/113.16 = 74.22/x
  3. Step 3: Cross multiply
    75.06x = 113.16 × 74.22
  4. Step 4: Simplify right side
    75.06x = 8,398.74
  5. Step 5: Solve for x
    x = 8,398.74/75.06
  6. Step 6: Final answer
    x = 111.89

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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.