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Finding the Fourth Proportional to 120.01, 179.18 and 106.21

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Solution

The fourth proportional to 120.01, 179.18 and 106.21 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.01 : 179.18 = 106.21 : x
  2. Step 2: Convert to fraction form
    120.01/179.18 = 106.21/x
  3. Step 3: Cross multiply
    120.01x = 179.18 × 106.21
  4. Step 4: Simplify right side
    120.01x = 19,030.71
  5. Step 5: Solve for x
    x = 19,030.71/120.01
  6. Step 6: Final answer
    x = 158.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.