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Finding the Fourth Proportional to 124.74, 173.06 and 118.80

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Solution

The fourth proportional to 124.74, 173.06 and 118.80 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.74 : 173.06 = 118.80 : x
  2. Step 2: Convert to fraction form
    124.74/173.06 = 118.80/x
  3. Step 3: Cross multiply
    124.74x = 173.06 × 118.80
  4. Step 4: Simplify right side
    124.74x = 20,559.53
  5. Step 5: Solve for x
    x = 20,559.53/124.74
  6. Step 6: Final answer
    x = 164.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.