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Finding the Fourth Proportional to 124.02, 171.10 and 82.58

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Solution

The fourth proportional to 124.02, 171.10 and 82.58 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 171.10 = 82.58 : x
  2. Step 2: Convert to fraction form
    124.02/171.10 = 82.58/x
  3. Step 3: Cross multiply
    124.02x = 171.10 × 82.58
  4. Step 4: Simplify right side
    124.02x = 14,129.44
  5. Step 5: Solve for x
    x = 14,129.44/124.02
  6. Step 6: Final answer
    x = 113.93

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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.