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Finding the Fourth Proportional to 121.04, 181.34 and 98.24

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Solution

The fourth proportional to 121.04, 181.34 and 98.24 is: 147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.04 : 181.34 = 98.24 : x
  2. Step 2: Convert to fraction form
    121.04/181.34 = 98.24/x
  3. Step 3: Cross multiply
    121.04x = 181.34 × 98.24
  4. Step 4: Simplify right side
    121.04x = 17,814.84
  5. Step 5: Solve for x
    x = 17,814.84/121.04
  6. Step 6: Final answer
    x = 147.18

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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.