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Finding the Fourth Proportional to 116.60, 173.93 and 106.11

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Solution

The fourth proportional to 116.60, 173.93 and 106.11 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 173.93 = 106.11 : x
  2. Step 2: Convert to fraction form
    116.60/173.93 = 106.11/x
  3. Step 3: Cross multiply
    116.60x = 173.93 × 106.11
  4. Step 4: Simplify right side
    116.60x = 18,455.18
  5. Step 5: Solve for x
    x = 18,455.18/116.60
  6. Step 6: Final answer
    x = 158.28

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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.