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Finding the Fourth Proportional to 119.71, 165.14 and 90.25

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Solution

The fourth proportional to 119.71, 165.14 and 90.25 is: 124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.71 : 165.14 = 90.25 : x
  2. Step 2: Convert to fraction form
    119.71/165.14 = 90.25/x
  3. Step 3: Cross multiply
    119.71x = 165.14 × 90.25
  4. Step 4: Simplify right side
    119.71x = 14,903.36
  5. Step 5: Solve for x
    x = 14,903.36/119.71
  6. Step 6: Final answer
    x = 124.49

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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.