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Finding the Fourth Proportional to 88.32, 131.97 and 65.09

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Solution

The fourth proportional to 88.32, 131.97 and 65.09 is: 97.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.32 : 131.97 = 65.09 : x
  2. Step 2: Convert to fraction form
    88.32/131.97 = 65.09/x
  3. Step 3: Cross multiply
    88.32x = 131.97 × 65.09
  4. Step 4: Simplify right side
    88.32x = 8,589.27
  5. Step 5: Solve for x
    x = 8,589.27/88.32
  6. Step 6: Final answer
    x = 97.25

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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.