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Finding the Fourth Proportional to 133.50, 184.06 and 110.28

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Solution

The fourth proportional to 133.50, 184.06 and 110.28 is: 152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 184.06 = 110.28 : x
  2. Step 2: Convert to fraction form
    133.50/184.06 = 110.28/x
  3. Step 3: Cross multiply
    133.50x = 184.06 × 110.28
  4. Step 4: Simplify right side
    133.50x = 20,298.14
  5. Step 5: Solve for x
    x = 20,298.14/133.50
  6. Step 6: Final answer
    x = 152.05

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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.