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Finding the Fourth Proportional to 120.58, 166.32 and 79.06

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Solution

The fourth proportional to 120.58, 166.32 and 79.06 is: 109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 166.32 = 79.06 : x
  2. Step 2: Convert to fraction form
    120.58/166.32 = 79.06/x
  3. Step 3: Cross multiply
    120.58x = 166.32 × 79.06
  4. Step 4: Simplify right side
    120.58x = 13,149.26
  5. Step 5: Solve for x
    x = 13,149.26/120.58
  6. Step 6: Final answer
    x = 109.05

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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.