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Finding the Fourth Proportional to 117.16, 175.83 and 116.08

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Solution

The fourth proportional to 117.16, 175.83 and 116.08 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.16 : 175.83 = 116.08 : x
  2. Step 2: Convert to fraction form
    117.16/175.83 = 116.08/x
  3. Step 3: Cross multiply
    117.16x = 175.83 × 116.08
  4. Step 4: Simplify right side
    117.16x = 20,410.35
  5. Step 5: Solve for x
    x = 20,410.35/117.16
  6. Step 6: Final answer
    x = 174.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.