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Finding the Fourth Proportional to 96.94, 145.33 and 48.84

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Solution

The fourth proportional to 96.94, 145.33 and 48.84 is: 73.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 145.33 = 48.84 : x
  2. Step 2: Convert to fraction form
    96.94/145.33 = 48.84/x
  3. Step 3: Cross multiply
    96.94x = 145.33 × 48.84
  4. Step 4: Simplify right side
    96.94x = 7,097.92
  5. Step 5: Solve for x
    x = 7,097.92/96.94
  6. Step 6: Final answer
    x = 73.22

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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.