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Finding the Fourth Proportional to 110.50, 165.78 and 64.84

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Solution

The fourth proportional to 110.50, 165.78 and 64.84 is: 97.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.78 = 64.84 : x
  2. Step 2: Convert to fraction form
    110.50/165.78 = 64.84/x
  3. Step 3: Cross multiply
    110.50x = 165.78 × 64.84
  4. Step 4: Simplify right side
    110.50x = 10,749.18
  5. Step 5: Solve for x
    x = 10,749.18/110.50
  6. Step 6: Final answer
    x = 97.28

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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.