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Finding the Fourth Proportional to 101.96, 153.18 and 96.68

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Solution

The fourth proportional to 101.96, 153.18 and 96.68 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.96 : 153.18 = 96.68 : x
  2. Step 2: Convert to fraction form
    101.96/153.18 = 96.68/x
  3. Step 3: Cross multiply
    101.96x = 153.18 × 96.68
  4. Step 4: Simplify right side
    101.96x = 14,809.44
  5. Step 5: Solve for x
    x = 14,809.44/101.96
  6. Step 6: Final answer
    x = 145.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.