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Finding the Fourth Proportional to 96.00, 143.84 and 92.40

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Solution

The fourth proportional to 96.00, 143.84 and 92.40 is: 138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.00 : 143.84 = 92.40 : x
  2. Step 2: Convert to fraction form
    96.00/143.84 = 92.40/x
  3. Step 3: Cross multiply
    96.00x = 143.84 × 92.40
  4. Step 4: Simplify right side
    96.00x = 13,289.87
  5. Step 5: Solve for x
    x = 13,289.87/96.00
  6. Step 6: Final answer
    x = 138.44

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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.