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Finding the Fourth Proportional to 120.27, 165.90 and 71.14

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Solution

The fourth proportional to 120.27, 165.90 and 71.14 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.27 : 165.90 = 71.14 : x
  2. Step 2: Convert to fraction form
    120.27/165.90 = 71.14/x
  3. Step 3: Cross multiply
    120.27x = 165.90 × 71.14
  4. Step 4: Simplify right side
    120.27x = 11,802.29
  5. Step 5: Solve for x
    x = 11,802.29/120.27
  6. Step 6: Final answer
    x = 98.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.