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Finding the Fourth Proportional to 133.16, 199.43 and 97

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Solution

The fourth proportional to 133.16, 199.43 and 97 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.16 : 199.43 = 97 : x
  2. Step 2: Convert to fraction form
    133.16/199.43 = 97/x
  3. Step 3: Cross multiply
    133.16x = 199.43 × 97
  4. Step 4: Simplify right side
    133.16x = 19,344.71
  5. Step 5: Solve for x
    x = 19,344.71/133.16
  6. Step 6: Final answer
    x = 145.27

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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.