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Finding the Fourth Proportional to 124.68, 171.75 and 120.24

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Solution

The fourth proportional to 124.68, 171.75 and 120.24 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.68 : 171.75 = 120.24 : x
  2. Step 2: Convert to fraction form
    124.68/171.75 = 120.24/x
  3. Step 3: Cross multiply
    124.68x = 171.75 × 120.24
  4. Step 4: Simplify right side
    124.68x = 20,651.22
  5. Step 5: Solve for x
    x = 20,651.22/124.68
  6. Step 6: Final answer
    x = 165.63

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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.