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Finding the Fourth Proportional to 124.20, 171.12 and 105.72

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Solution

The fourth proportional to 124.20, 171.12 and 105.72 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.20 : 171.12 = 105.72 : x
  2. Step 2: Convert to fraction form
    124.20/171.12 = 105.72/x
  3. Step 3: Cross multiply
    124.20x = 171.12 × 105.72
  4. Step 4: Simplify right side
    124.20x = 18,090.81
  5. Step 5: Solve for x
    x = 18,090.81/124.20
  6. Step 6: Final answer
    x = 145.66

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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.