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Finding the Fourth Proportional to 117.86, 176.64 and 76.64

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Solution

The fourth proportional to 117.86, 176.64 and 76.64 is: 114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 176.64 = 76.64 : x
  2. Step 2: Convert to fraction form
    117.86/176.64 = 76.64/x
  3. Step 3: Cross multiply
    117.86x = 176.64 × 76.64
  4. Step 4: Simplify right side
    117.86x = 13,537.69
  5. Step 5: Solve for x
    x = 13,537.69/117.86
  6. Step 6: Final answer
    x = 114.86

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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.