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Finding the Fourth Proportional to 120.07, 165.72 and 76.42

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Solution

The fourth proportional to 120.07, 165.72 and 76.42 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 165.72 = 76.42 : x
  2. Step 2: Convert to fraction form
    120.07/165.72 = 76.42/x
  3. Step 3: Cross multiply
    120.07x = 165.72 × 76.42
  4. Step 4: Simplify right side
    120.07x = 12,664.32
  5. Step 5: Solve for x
    x = 12,664.32/120.07
  6. Step 6: Final answer
    x = 105.47

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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.