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Finding the Fourth Proportional to 124.61, 171.90 and 83.19

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Solution

The fourth proportional to 124.61, 171.90 and 83.19 is: 114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.61 : 171.90 = 83.19 : x
  2. Step 2: Convert to fraction form
    124.61/171.90 = 83.19/x
  3. Step 3: Cross multiply
    124.61x = 171.90 × 83.19
  4. Step 4: Simplify right side
    124.61x = 14,300.36
  5. Step 5: Solve for x
    x = 14,300.36/124.61
  6. Step 6: Final answer
    x = 114.77

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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.