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Finding the Fourth Proportional to 75.87, 113.82 and 53.10

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Solution

The fourth proportional to 75.87, 113.82 and 53.10 is: 79.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.87 : 113.82 = 53.10 : x
  2. Step 2: Convert to fraction form
    75.87/113.82 = 53.10/x
  3. Step 3: Cross multiply
    75.87x = 113.82 × 53.10
  4. Step 4: Simplify right side
    75.87x = 6,043.84
  5. Step 5: Solve for x
    x = 6,043.84/75.87
  6. Step 6: Final answer
    x = 79.66

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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.