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Finding the Fourth Proportional to 117.76, 175.29 and 116.03

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Solution

The fourth proportional to 117.76, 175.29 and 116.03 is: 172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.76 : 175.29 = 116.03 : x
  2. Step 2: Convert to fraction form
    117.76/175.29 = 116.03/x
  3. Step 3: Cross multiply
    117.76x = 175.29 × 116.03
  4. Step 4: Simplify right side
    117.76x = 20,338.90
  5. Step 5: Solve for x
    x = 20,338.90/117.76
  6. Step 6: Final answer
    x = 172.71

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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.