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Finding the Fourth Proportional to 117.79, 175.57 and 116.10

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Solution

The fourth proportional to 117.79, 175.57 and 116.10 is: 173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.79 : 175.57 = 116.10 : x
  2. Step 2: Convert to fraction form
    117.79/175.57 = 116.10/x
  3. Step 3: Cross multiply
    117.79x = 175.57 × 116.10
  4. Step 4: Simplify right side
    117.79x = 20,383.39
  5. Step 5: Solve for x
    x = 20,383.39/117.79
  6. Step 6: Final answer
    x = 173.05

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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.