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Finding the Fourth Proportional to 76.34, 105.38 and 53.04

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Solution

The fourth proportional to 76.34, 105.38 and 53.04 is: 73.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 105.38 = 53.04 : x
  2. Step 2: Convert to fraction form
    76.34/105.38 = 53.04/x
  3. Step 3: Cross multiply
    76.34x = 105.38 × 53.04
  4. Step 4: Simplify right side
    76.34x = 5,589.36
  5. Step 5: Solve for x
    x = 5,589.36/76.34
  6. Step 6: Final answer
    x = 73.22

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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.