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Finding the Fourth Proportional to 57.53, 78.90 and 57.53

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Solution

The fourth proportional to 57.53, 78.90 and 57.53 is: 78.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.53 : 78.90 = 57.53 : x
  2. Step 2: Convert to fraction form
    57.53/78.90 = 57.53/x
  3. Step 3: Cross multiply
    57.53x = 78.90 × 57.53
  4. Step 4: Simplify right side
    57.53x = 4,538.94
  5. Step 5: Solve for x
    x = 4,538.94/57.53
  6. Step 6: Final answer
    x = 78.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.