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Finding the Fourth Proportional to 116.15, 173.21 and 101.77

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Solution

The fourth proportional to 116.15, 173.21 and 101.77 is: 151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.15 : 173.21 = 101.77 : x
  2. Step 2: Convert to fraction form
    116.15/173.21 = 101.77/x
  3. Step 3: Cross multiply
    116.15x = 173.21 × 101.77
  4. Step 4: Simplify right side
    116.15x = 17,627.20
  5. Step 5: Solve for x
    x = 17,627.20/116.15
  6. Step 6: Final answer
    x = 151.77

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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.