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Finding the Fourth Proportional to 76.52, 114.04 and 73.92

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Solution

The fourth proportional to 76.52, 114.04 and 73.92 is: 110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 114.04 = 73.92 : x
  2. Step 2: Convert to fraction form
    76.52/114.04 = 73.92/x
  3. Step 3: Cross multiply
    76.52x = 114.04 × 73.92
  4. Step 4: Simplify right side
    76.52x = 8,429.84
  5. Step 5: Solve for x
    x = 8,429.84/76.52
  6. Step 6: Final answer
    x = 110.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.