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Finding the Fourth Proportional to 117.27, 175.91 and 76.77

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Solution

The fourth proportional to 117.27, 175.91 and 76.77 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.27 : 175.91 = 76.77 : x
  2. Step 2: Convert to fraction form
    117.27/175.91 = 76.77/x
  3. Step 3: Cross multiply
    117.27x = 175.91 × 76.77
  4. Step 4: Simplify right side
    117.27x = 13,504.23
  5. Step 5: Solve for x
    x = 13,504.23/117.27
  6. Step 6: Final answer
    x = 115.16

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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.