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Finding the Fourth Proportional to 87.51, 131.28 and 52.84

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Solution

The fourth proportional to 87.51, 131.28 and 52.84 is: 79.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.51 : 131.28 = 52.84 : x
  2. Step 2: Convert to fraction form
    87.51/131.28 = 52.84/x
  3. Step 3: Cross multiply
    87.51x = 131.28 × 52.84
  4. Step 4: Simplify right side
    87.51x = 6,936.51
  5. Step 5: Solve for x
    x = 6,936.51/87.51
  6. Step 6: Final answer
    x = 79.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.