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Finding the Fourth Proportional to 116.80, 174.42 and 116.16

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Solution

The fourth proportional to 116.80, 174.42 and 116.16 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 174.42 = 116.16 : x
  2. Step 2: Convert to fraction form
    116.80/174.42 = 116.16/x
  3. Step 3: Cross multiply
    116.80x = 174.42 × 116.16
  4. Step 4: Simplify right side
    116.80x = 20,260.63
  5. Step 5: Solve for x
    x = 20,260.63/116.80
  6. Step 6: Final answer
    x = 173.46

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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.