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Finding the Fourth Proportional to 96.78, 145.07 and 48.59

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Solution

The fourth proportional to 96.78, 145.07 and 48.59 is: 72.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 145.07 = 48.59 : x
  2. Step 2: Convert to fraction form
    96.78/145.07 = 48.59/x
  3. Step 3: Cross multiply
    96.78x = 145.07 × 48.59
  4. Step 4: Simplify right side
    96.78x = 7,048.71
  5. Step 5: Solve for x
    x = 7,048.71/96.78
  6. Step 6: Final answer
    x = 72.83

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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.