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Finding the Fourth Proportional to 96.53, 144.80 and 28.05

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Solution

The fourth proportional to 96.53, 144.80 and 28.05 is: 42.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 144.80 = 28.05 : x
  2. Step 2: Convert to fraction form
    96.53/144.80 = 28.05/x
  3. Step 3: Cross multiply
    96.53x = 144.80 × 28.05
  4. Step 4: Simplify right side
    96.53x = 4,062.15
  5. Step 5: Solve for x
    x = 4,062.15/96.53
  6. Step 6: Final answer
    x = 42.08

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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.