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Finding the Fourth Proportional to 96.45, 144.54 and 53.13

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Solution

The fourth proportional to 96.45, 144.54 and 53.13 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 144.54 = 53.13 : x
  2. Step 2: Convert to fraction form
    96.45/144.54 = 53.13/x
  3. Step 3: Cross multiply
    96.45x = 144.54 × 53.13
  4. Step 4: Simplify right side
    96.45x = 7,679.41
  5. Step 5: Solve for x
    x = 7,679.41/96.45
  6. Step 6: Final answer
    x = 79.62

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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.