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Finding the Fourth Proportional to 124.32, 185.37 and 116.40

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Solution

The fourth proportional to 124.32, 185.37 and 116.40 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 185.37 = 116.40 : x
  2. Step 2: Convert to fraction form
    124.32/185.37 = 116.40/x
  3. Step 3: Cross multiply
    124.32x = 185.37 × 116.40
  4. Step 4: Simplify right side
    124.32x = 21,577.07
  5. Step 5: Solve for x
    x = 21,577.07/124.32
  6. Step 6: Final answer
    x = 173.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.