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Finding the Fourth Proportional to 57.64, 79.48 and 50.80

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Solution

The fourth proportional to 57.64, 79.48 and 50.80 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.64 : 79.48 = 50.80 : x
  2. Step 2: Convert to fraction form
    57.64/79.48 = 50.80/x
  3. Step 3: Cross multiply
    57.64x = 79.48 × 50.80
  4. Step 4: Simplify right side
    57.64x = 4,037.58
  5. Step 5: Solve for x
    x = 4,037.58/57.64
  6. Step 6: Final answer
    x = 70.05

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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.