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Finding the Fourth Proportional to 101.43, 151.92 and 96.57

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Solution

The fourth proportional to 101.43, 151.92 and 96.57 is: 144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.43 : 151.92 = 96.57 : x
  2. Step 2: Convert to fraction form
    101.43/151.92 = 96.57/x
  3. Step 3: Cross multiply
    101.43x = 151.92 × 96.57
  4. Step 4: Simplify right side
    101.43x = 14,670.91
  5. Step 5: Solve for x
    x = 14,670.91/101.43
  6. Step 6: Final answer
    x = 144.64

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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.