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Finding the Fourth Proportional to 124.37, 171.71 and 83.01

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Solution

The fourth proportional to 124.37, 171.71 and 83.01 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.37 : 171.71 = 83.01 : x
  2. Step 2: Convert to fraction form
    124.37/171.71 = 83.01/x
  3. Step 3: Cross multiply
    124.37x = 171.71 × 83.01
  4. Step 4: Simplify right side
    124.37x = 14,253.65
  5. Step 5: Solve for x
    x = 14,253.65/124.37
  6. Step 6: Final answer
    x = 114.61

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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.