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Finding the Fourth Proportional to 76.46, 105.52 and 47.35

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Solution

The fourth proportional to 76.46, 105.52 and 47.35 is: 65.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.46 : 105.52 = 47.35 : x
  2. Step 2: Convert to fraction form
    76.46/105.52 = 47.35/x
  3. Step 3: Cross multiply
    76.46x = 105.52 × 47.35
  4. Step 4: Simplify right side
    76.46x = 4,995.99
  5. Step 5: Solve for x
    x = 4,995.99/76.46
  6. Step 6: Final answer
    x = 65.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.