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Finding the Fourth Proportional to 96.93, 145.19 and 83.77

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Solution

The fourth proportional to 96.93, 145.19 and 83.77 is: 125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 145.19 = 83.77 : x
  2. Step 2: Convert to fraction form
    96.93/145.19 = 83.77/x
  3. Step 3: Cross multiply
    96.93x = 145.19 × 83.77
  4. Step 4: Simplify right side
    96.93x = 12,162.41
  5. Step 5: Solve for x
    x = 12,162.41/96.93
  6. Step 6: Final answer
    x = 125.48

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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.