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Finding the Fourth Proportional to 133.48, 184.16 and 96.89

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Solution

The fourth proportional to 133.48, 184.16 and 96.89 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 184.16 = 96.89 : x
  2. Step 2: Convert to fraction form
    133.48/184.16 = 96.89/x
  3. Step 3: Cross multiply
    133.48x = 184.16 × 96.89
  4. Step 4: Simplify right side
    133.48x = 17,842.78
  5. Step 5: Solve for x
    x = 17,842.78/133.48
  6. Step 6: Final answer
    x = 133.68

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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.