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Finding the Fourth Proportional to 133.74, 184.54 and 74.72

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Solution

The fourth proportional to 133.74, 184.54 and 74.72 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 184.54 = 74.72 : x
  2. Step 2: Convert to fraction form
    133.74/184.54 = 74.72/x
  3. Step 3: Cross multiply
    133.74x = 184.54 × 74.72
  4. Step 4: Simplify right side
    133.74x = 13,788.83
  5. Step 5: Solve for x
    x = 13,788.83/133.74
  6. Step 6: Final answer
    x = 103.10

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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.