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Finding the Fourth Proportional to 117.32, 175.96 and 76.65

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Solution

The fourth proportional to 117.32, 175.96 and 76.65 is: 114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.32 : 175.96 = 76.65 : x
  2. Step 2: Convert to fraction form
    117.32/175.96 = 76.65/x
  3. Step 3: Cross multiply
    117.32x = 175.96 × 76.65
  4. Step 4: Simplify right side
    117.32x = 13,486.77
  5. Step 5: Solve for x
    x = 13,486.77/117.32
  6. Step 6: Final answer
    x = 114.96

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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.