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Finding the Fourth Proportional to 124.16, 184.16 and 122.33

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Solution

The fourth proportional to 124.16, 184.16 and 122.33 is: 181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.16 : 184.16 = 122.33 : x
  2. Step 2: Convert to fraction form
    124.16/184.16 = 122.33/x
  3. Step 3: Cross multiply
    124.16x = 184.16 × 122.33
  4. Step 4: Simplify right side
    124.16x = 22,528.14
  5. Step 5: Solve for x
    x = 22,528.14/124.16
  6. Step 6: Final answer
    x = 181.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.