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Finding the Fourth Proportional to 133.82, 184.66 and 97.01

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Solution

The fourth proportional to 133.82, 184.66 and 97.01 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.82 : 184.66 = 97.01 : x
  2. Step 2: Convert to fraction form
    133.82/184.66 = 97.01/x
  3. Step 3: Cross multiply
    133.82x = 184.66 × 97.01
  4. Step 4: Simplify right side
    133.82x = 17,913.87
  5. Step 5: Solve for x
    x = 17,913.87/133.82
  6. Step 6: Final answer
    x = 133.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.