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Finding the Fourth Proportional to 120.48, 165.84 and 106.40

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Solution

The fourth proportional to 120.48, 165.84 and 106.40 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 165.84 = 106.40 : x
  2. Step 2: Convert to fraction form
    120.48/165.84 = 106.40/x
  3. Step 3: Cross multiply
    120.48x = 165.84 × 106.40
  4. Step 4: Simplify right side
    120.48x = 17,645.38
  5. Step 5: Solve for x
    x = 17,645.38/120.48
  6. Step 6: Final answer
    x = 146.46

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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.