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Finding the Fourth Proportional to 119.74, 165.28 and 90.18

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Solution

The fourth proportional to 119.74, 165.28 and 90.18 is: 124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 165.28 = 90.18 : x
  2. Step 2: Convert to fraction form
    119.74/165.28 = 90.18/x
  3. Step 3: Cross multiply
    119.74x = 165.28 × 90.18
  4. Step 4: Simplify right side
    119.74x = 14,904.95
  5. Step 5: Solve for x
    x = 14,904.95/119.74
  6. Step 6: Final answer
    x = 124.48

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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.