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Finding the Fourth Proportional to 76.14, 105.00 and 54.34

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Solution

The fourth proportional to 76.14, 105.00 and 54.34 is: 74.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 105.00 = 54.34 : x
  2. Step 2: Convert to fraction form
    76.14/105.00 = 54.34/x
  3. Step 3: Cross multiply
    76.14x = 105.00 × 54.34
  4. Step 4: Simplify right side
    76.14x = 5,705.23
  5. Step 5: Solve for x
    x = 5,705.23/76.14
  6. Step 6: Final answer
    x = 74.93

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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.