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Finding the Fourth Proportional to 124.07, 184.96 and 114.35

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Solution

The fourth proportional to 124.07, 184.96 and 114.35 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.07 : 184.96 = 114.35 : x
  2. Step 2: Convert to fraction form
    124.07/184.96 = 114.35/x
  3. Step 3: Cross multiply
    124.07x = 184.96 × 114.35
  4. Step 4: Simplify right side
    124.07x = 21,149.07
  5. Step 5: Solve for x
    x = 21,149.07/124.07
  6. Step 6: Final answer
    x = 170.47

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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.