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Finding the Fourth Proportional to 97.27, 145.60 and 96.46

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Solution

The fourth proportional to 97.27, 145.60 and 96.46 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.27 : 145.60 = 96.46 : x
  2. Step 2: Convert to fraction form
    97.27/145.60 = 96.46/x
  3. Step 3: Cross multiply
    97.27x = 145.60 × 96.46
  4. Step 4: Simplify right side
    97.27x = 14,043.97
  5. Step 5: Solve for x
    x = 14,043.97/97.27
  6. Step 6: Final answer
    x = 144.39

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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.