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Finding the Fourth Proportional to 124.23, 171.34 and 75.06

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Solution

The fourth proportional to 124.23, 171.34 and 75.06 is: 103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.23 : 171.34 = 75.06 : x
  2. Step 2: Convert to fraction form
    124.23/171.34 = 75.06/x
  3. Step 3: Cross multiply
    124.23x = 171.34 × 75.06
  4. Step 4: Simplify right side
    124.23x = 12,860.78
  5. Step 5: Solve for x
    x = 12,860.78/124.23
  6. Step 6: Final answer
    x = 103.52

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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.