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Finding the Fourth Proportional to 124.24, 171.36 and 106

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Solution

The fourth proportional to 124.24, 171.36 and 106 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 171.36 = 106 : x
  2. Step 2: Convert to fraction form
    124.24/171.36 = 106/x
  3. Step 3: Cross multiply
    124.24x = 171.36 × 106
  4. Step 4: Simplify right side
    124.24x = 18,164.16
  5. Step 5: Solve for x
    x = 18,164.16/124.24
  6. Step 6: Final answer
    x = 146.20

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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.