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Finding the Fourth Proportional to 142.96, 196.80 and 117.04

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Solution

The fourth proportional to 142.96, 196.80 and 117.04 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 196.80 = 117.04 : x
  2. Step 2: Convert to fraction form
    142.96/196.80 = 117.04/x
  3. Step 3: Cross multiply
    142.96x = 196.80 × 117.04
  4. Step 4: Simplify right side
    142.96x = 23,033.47
  5. Step 5: Solve for x
    x = 23,033.47/142.96
  6. Step 6: Final answer
    x = 161.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.