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Finding the Fourth Proportional to 70.00, 96.62 and 54.43

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Solution

The fourth proportional to 70.00, 96.62 and 54.43 is: 75.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.00 : 96.62 = 54.43 : x
  2. Step 2: Convert to fraction form
    70.00/96.62 = 54.43/x
  3. Step 3: Cross multiply
    70.00x = 96.62 × 54.43
  4. Step 4: Simplify right side
    70.00x = 5,258.27
  5. Step 5: Solve for x
    x = 5,258.27/70.00
  6. Step 6: Final answer
    x = 75.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.