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Finding the Fourth Proportional to 96.32, 144.49 and 35.42

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Solution

The fourth proportional to 96.32, 144.49 and 35.42 is: 53.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.32 : 144.49 = 35.42 : x
  2. Step 2: Convert to fraction form
    96.32/144.49 = 35.42/x
  3. Step 3: Cross multiply
    96.32x = 144.49 × 35.42
  4. Step 4: Simplify right side
    96.32x = 5,117.02
  5. Step 5: Solve for x
    x = 5,117.02/96.32
  6. Step 6: Final answer
    x = 53.12

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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.