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Finding the Fourth Proportional to 101.14, 150.68 and 95.97

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Solution

The fourth proportional to 101.14, 150.68 and 95.97 is: 142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.14 : 150.68 = 95.97 : x
  2. Step 2: Convert to fraction form
    101.14/150.68 = 95.97/x
  3. Step 3: Cross multiply
    101.14x = 150.68 × 95.97
  4. Step 4: Simplify right side
    101.14x = 14,460.76
  5. Step 5: Solve for x
    x = 14,460.76/101.14
  6. Step 6: Final answer
    x = 142.98

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Why These Related Problems?

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