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Finding the Fourth Proportional to 120.29, 165.88 and 105.71

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Solution

The fourth proportional to 120.29, 165.88 and 105.71 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 165.88 = 105.71 : x
  2. Step 2: Convert to fraction form
    120.29/165.88 = 105.71/x
  3. Step 3: Cross multiply
    120.29x = 165.88 × 105.71
  4. Step 4: Simplify right side
    120.29x = 17,534.48
  5. Step 5: Solve for x
    x = 17,534.48/120.29
  6. Step 6: Final answer
    x = 145.77

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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.