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Finding the Fourth Proportional to 74.29, 110.78 and 70.25

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Solution

The fourth proportional to 74.29, 110.78 and 70.25 is: 104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.29 : 110.78 = 70.25 : x
  2. Step 2: Convert to fraction form
    74.29/110.78 = 70.25/x
  3. Step 3: Cross multiply
    74.29x = 110.78 × 70.25
  4. Step 4: Simplify right side
    74.29x = 7,781.39
  5. Step 5: Solve for x
    x = 7,781.39/74.29
  6. Step 6: Final answer
    x = 104.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.