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Finding the Fourth Proportional to 76.23, 105.21 and 47.14

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Solution

The fourth proportional to 76.23, 105.21 and 47.14 is: 65.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 105.21 = 47.14 : x
  2. Step 2: Convert to fraction form
    76.23/105.21 = 47.14/x
  3. Step 3: Cross multiply
    76.23x = 105.21 × 47.14
  4. Step 4: Simplify right side
    76.23x = 4,959.34
  5. Step 5: Solve for x
    x = 4,959.34/76.23
  6. Step 6: Final answer
    x = 65.06

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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.