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Finding the Fourth Proportional to 78.08, 117 and 31.77

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Solution

The fourth proportional to 78.08, 117 and 31.77 is: 47.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.08 : 117 = 31.77 : x
  2. Step 2: Convert to fraction form
    78.08/117 = 31.77/x
  3. Step 3: Cross multiply
    78.08x = 117 × 31.77
  4. Step 4: Simplify right side
    78.08x = 3,717.09
  5. Step 5: Solve for x
    x = 3,717.09/78.08
  6. Step 6: Final answer
    x = 47.61

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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.