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Finding the Fourth Proportional to 57.70, 79.75 and 53.25

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Solution

The fourth proportional to 57.70, 79.75 and 53.25 is: 73.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.70 : 79.75 = 53.25 : x
  2. Step 2: Convert to fraction form
    57.70/79.75 = 53.25/x
  3. Step 3: Cross multiply
    57.70x = 79.75 × 53.25
  4. Step 4: Simplify right side
    57.70x = 4,246.69
  5. Step 5: Solve for x
    x = 4,246.69/57.70
  6. Step 6: Final answer
    x = 73.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.