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Finding the Fourth Proportional to 77, 115.40 and 38.46

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Solution

The fourth proportional to 77, 115.40 and 38.46 is: 57.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 115.40 = 38.46 : x
  2. Step 2: Convert to fraction form
    77/115.40 = 38.46/x
  3. Step 3: Cross multiply
    77x = 115.40 × 38.46
  4. Step 4: Simplify right side
    77x = 4,438.28
  5. Step 5: Solve for x
    x = 4,438.28/77
  6. Step 6: Final answer
    x = 57.64

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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.