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Finding the Fourth Proportional to 97.09, 144.96 and 88.43

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Solution

The fourth proportional to 97.09, 144.96 and 88.43 is: 132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.09 : 144.96 = 88.43 : x
  2. Step 2: Convert to fraction form
    97.09/144.96 = 88.43/x
  3. Step 3: Cross multiply
    97.09x = 144.96 × 88.43
  4. Step 4: Simplify right side
    97.09x = 12,818.81
  5. Step 5: Solve for x
    x = 12,818.81/97.09
  6. Step 6: Final answer
    x = 132.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.