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Finding the Fourth Proportional to 110.16, 165.25 and 77.56

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Solution

The fourth proportional to 110.16, 165.25 and 77.56 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.16 : 165.25 = 77.56 : x
  2. Step 2: Convert to fraction form
    110.16/165.25 = 77.56/x
  3. Step 3: Cross multiply
    110.16x = 165.25 × 77.56
  4. Step 4: Simplify right side
    110.16x = 12,816.79
  5. Step 5: Solve for x
    x = 12,816.79/110.16
  6. Step 6: Final answer
    x = 116.35

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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.