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Finding the Fourth Proportional to 53.40, 79.97 and 50.57

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Solution

The fourth proportional to 53.40, 79.97 and 50.57 is: 75.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.40 : 79.97 = 50.57 : x
  2. Step 2: Convert to fraction form
    53.40/79.97 = 50.57/x
  3. Step 3: Cross multiply
    53.40x = 79.97 × 50.57
  4. Step 4: Simplify right side
    53.40x = 4,043.43
  5. Step 5: Solve for x
    x = 4,043.43/53.40
  6. Step 6: Final answer
    x = 75.72

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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.