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Finding the Fourth Proportional to 100.05, 137.93 and 70.89

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Solution

The fourth proportional to 100.05, 137.93 and 70.89 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.05 : 137.93 = 70.89 : x
  2. Step 2: Convert to fraction form
    100.05/137.93 = 70.89/x
  3. Step 3: Cross multiply
    100.05x = 137.93 × 70.89
  4. Step 4: Simplify right side
    100.05x = 9,777.50
  5. Step 5: Solve for x
    x = 9,777.50/100.05
  6. Step 6: Final answer
    x = 97.73

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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.