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Finding the Fourth Proportional to 116.40, 160.80 and 102

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Solution

The fourth proportional to 116.40, 160.80 and 102 is: 140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 160.80 = 102 : x
  2. Step 2: Convert to fraction form
    116.40/160.80 = 102/x
  3. Step 3: Cross multiply
    116.40x = 160.80 × 102
  4. Step 4: Simplify right side
    116.40x = 16,401.60
  5. Step 5: Solve for x
    x = 16,401.60/116.40
  6. Step 6: Final answer
    x = 140.91

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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.