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Finding the Fourth Proportional to 124.37, 186.50 and 116.58

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Solution

The fourth proportional to 124.37, 186.50 and 116.58 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.37 : 186.50 = 116.58 : x
  2. Step 2: Convert to fraction form
    124.37/186.50 = 116.58/x
  3. Step 3: Cross multiply
    124.37x = 186.50 × 116.58
  4. Step 4: Simplify right side
    124.37x = 21,742.46
  5. Step 5: Solve for x
    x = 21,742.46/124.37
  6. Step 6: Final answer
    x = 174.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.