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Finding the Fourth Proportional to 165.84, 229.08 and 110.76

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Solution

The fourth proportional to 165.84, 229.08 and 110.76 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 229.08 = 110.76 : x
  2. Step 2: Convert to fraction form
    165.84/229.08 = 110.76/x
  3. Step 3: Cross multiply
    165.84x = 229.08 × 110.76
  4. Step 4: Simplify right side
    165.84x = 25,372.90
  5. Step 5: Solve for x
    x = 25,372.90/165.84
  6. Step 6: Final answer
    x = 153.00

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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.