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Finding the Fourth Proportional to 124.51, 185.67 and 116.14

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Solution

The fourth proportional to 124.51, 185.67 and 116.14 is: 173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.51 : 185.67 = 116.14 : x
  2. Step 2: Convert to fraction form
    124.51/185.67 = 116.14/x
  3. Step 3: Cross multiply
    124.51x = 185.67 × 116.14
  4. Step 4: Simplify right side
    124.51x = 21,563.71
  5. Step 5: Solve for x
    x = 21,563.71/124.51
  6. Step 6: Final answer
    x = 173.19

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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.