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Finding the Fourth Proportional to 96.96, 145.53 and 83.64

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Solution

The fourth proportional to 96.96, 145.53 and 83.64 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.96 : 145.53 = 83.64 : x
  2. Step 2: Convert to fraction form
    96.96/145.53 = 83.64/x
  3. Step 3: Cross multiply
    96.96x = 145.53 × 83.64
  4. Step 4: Simplify right side
    96.96x = 12,172.13
  5. Step 5: Solve for x
    x = 12,172.13/96.96
  6. Step 6: Final answer
    x = 125.54

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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.