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Finding the Fourth Proportional to 97.16, 132.91 and 97.16

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Solution

The fourth proportional to 97.16, 132.91 and 97.16 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.16 : 132.91 = 97.16 : x
  2. Step 2: Convert to fraction form
    97.16/132.91 = 97.16/x
  3. Step 3: Cross multiply
    97.16x = 132.91 × 97.16
  4. Step 4: Simplify right side
    97.16x = 12,912.63
  5. Step 5: Solve for x
    x = 12,912.63/97.16
  6. Step 6: Final answer
    x = 132.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.