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Finding the Fourth Proportional to 74.73, 102.89 and 70.88

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Solution

The fourth proportional to 74.73, 102.89 and 70.88 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.73 : 102.89 = 70.88 : x
  2. Step 2: Convert to fraction form
    74.73/102.89 = 70.88/x
  3. Step 3: Cross multiply
    74.73x = 102.89 × 70.88
  4. Step 4: Simplify right side
    74.73x = 7,291.97
  5. Step 5: Solve for x
    x = 7,291.97/74.73
  6. Step 6: Final answer
    x = 97.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.