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Finding the Fourth Proportional to 110.34, 165.66 and 76.20

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Solution

The fourth proportional to 110.34, 165.66 and 76.20 is: 114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 165.66 = 76.20 : x
  2. Step 2: Convert to fraction form
    110.34/165.66 = 76.20/x
  3. Step 3: Cross multiply
    110.34x = 165.66 × 76.20
  4. Step 4: Simplify right side
    110.34x = 12,623.29
  5. Step 5: Solve for x
    x = 12,623.29/110.34
  6. Step 6: Final answer
    x = 114.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.