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Finding the Fourth Proportional to 110.23, 165.40 and 84.71

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Solution

The fourth proportional to 110.23, 165.40 and 84.71 is: 127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.23 : 165.40 = 84.71 : x
  2. Step 2: Convert to fraction form
    110.23/165.40 = 84.71/x
  3. Step 3: Cross multiply
    110.23x = 165.40 × 84.71
  4. Step 4: Simplify right side
    110.23x = 14,011.24
  5. Step 5: Solve for x
    x = 14,011.24/110.23
  6. Step 6: Final answer
    x = 127.11

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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.