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Finding the Fourth Proportional to 124.60, 186.90 and 111.40

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Solution

The fourth proportional to 124.60, 186.90 and 111.40 is: 167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.60 : 186.90 = 111.40 : x
  2. Step 2: Convert to fraction form
    124.60/186.90 = 111.40/x
  3. Step 3: Cross multiply
    124.60x = 186.90 × 111.40
  4. Step 4: Simplify right side
    124.60x = 20,820.66
  5. Step 5: Solve for x
    x = 20,820.66/124.60
  6. Step 6: Final answer
    x = 167.10

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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.