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Finding the Fourth Proportional to 77, 115.50 and 31.34

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Solution

The fourth proportional to 77, 115.50 and 31.34 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 115.50 = 31.34 : x
  2. Step 2: Convert to fraction form
    77/115.50 = 31.34/x
  3. Step 3: Cross multiply
    77x = 115.50 × 31.34
  4. Step 4: Simplify right side
    77x = 3,619.77
  5. Step 5: Solve for x
    x = 3,619.77/77
  6. Step 6: Final answer
    x = 47.01

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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.