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Finding the Fourth Proportional to 110.42, 165.30 and 64.64

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Solution

The fourth proportional to 110.42, 165.30 and 64.64 is: 96.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.42 : 165.30 = 64.64 : x
  2. Step 2: Convert to fraction form
    110.42/165.30 = 64.64/x
  3. Step 3: Cross multiply
    110.42x = 165.30 × 64.64
  4. Step 4: Simplify right side
    110.42x = 10,684.99
  5. Step 5: Solve for x
    x = 10,684.99/110.42
  6. Step 6: Final answer
    x = 96.77

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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.