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Finding the Fourth Proportional to 96.81, 145.01 and 85.07

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Solution

The fourth proportional to 96.81, 145.01 and 85.07 is: 127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.81 : 145.01 = 85.07 : x
  2. Step 2: Convert to fraction form
    96.81/145.01 = 85.07/x
  3. Step 3: Cross multiply
    96.81x = 145.01 × 85.07
  4. Step 4: Simplify right side
    96.81x = 12,334.85
  5. Step 5: Solve for x
    x = 12,334.85/96.81
  6. Step 6: Final answer
    x = 127.41

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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.