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Finding the Fourth Proportional to 124.70, 186.70 and 115.13

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Solution

The fourth proportional to 124.70, 186.70 and 115.13 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.70 : 186.70 = 115.13 : x
  2. Step 2: Convert to fraction form
    124.70/186.70 = 115.13/x
  3. Step 3: Cross multiply
    124.70x = 186.70 × 115.13
  4. Step 4: Simplify right side
    124.70x = 21,494.77
  5. Step 5: Solve for x
    x = 21,494.77/124.70
  6. Step 6: Final answer
    x = 172.37

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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.