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Finding the Fourth Proportional to 96.40, 140.96 and 96.40

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Solution

The fourth proportional to 96.40, 140.96 and 96.40 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 140.96 = 96.40 : x
  2. Step 2: Convert to fraction form
    96.40/140.96 = 96.40/x
  3. Step 3: Cross multiply
    96.40x = 140.96 × 96.40
  4. Step 4: Simplify right side
    96.40x = 13,588.54
  5. Step 5: Solve for x
    x = 13,588.54/96.40
  6. Step 6: Final answer
    x = 140.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.