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Finding the Fourth Proportional to 133.17, 183.75 and 74.14

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Solution

The fourth proportional to 133.17, 183.75 and 74.14 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.17 : 183.75 = 74.14 : x
  2. Step 2: Convert to fraction form
    133.17/183.75 = 74.14/x
  3. Step 3: Cross multiply
    133.17x = 183.75 × 74.14
  4. Step 4: Simplify right side
    133.17x = 13,623.42
  5. Step 5: Solve for x
    x = 13,623.42/133.17
  6. Step 6: Final answer
    x = 102.30

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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.