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Finding the Fourth Proportional to 117.68, 175.84 and 85.02

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Solution

The fourth proportional to 117.68, 175.84 and 85.02 is: 127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.68 : 175.84 = 85.02 : x
  2. Step 2: Convert to fraction form
    117.68/175.84 = 85.02/x
  3. Step 3: Cross multiply
    117.68x = 175.84 × 85.02
  4. Step 4: Simplify right side
    117.68x = 14,949.92
  5. Step 5: Solve for x
    x = 14,949.92/117.68
  6. Step 6: Final answer
    x = 127.04

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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.