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Finding the Fourth Proportional to 110.42, 165.60 and 97.77

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Solution

The fourth proportional to 110.42, 165.60 and 97.77 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.42 : 165.60 = 97.77 : x
  2. Step 2: Convert to fraction form
    110.42/165.60 = 97.77/x
  3. Step 3: Cross multiply
    110.42x = 165.60 × 97.77
  4. Step 4: Simplify right side
    110.42x = 16,190.71
  5. Step 5: Solve for x
    x = 16,190.71/110.42
  6. Step 6: Final answer
    x = 146.64

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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.