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Finding the Fourth Proportional to 96.91, 145.42 and 51.30

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Solution

The fourth proportional to 96.91, 145.42 and 51.30 is: 76.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.91 : 145.42 = 51.30 : x
  2. Step 2: Convert to fraction form
    96.91/145.42 = 51.30/x
  3. Step 3: Cross multiply
    96.91x = 145.42 × 51.30
  4. Step 4: Simplify right side
    96.91x = 7,460.05
  5. Step 5: Solve for x
    x = 7,460.05/96.91
  6. Step 6: Final answer
    x = 76.98

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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.