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Finding the Fourth Proportional to 57.02, 85.58 and 53.47

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Solution

The fourth proportional to 57.02, 85.58 and 53.47 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 85.58 = 53.47 : x
  2. Step 2: Convert to fraction form
    57.02/85.58 = 53.47/x
  3. Step 3: Cross multiply
    57.02x = 85.58 × 53.47
  4. Step 4: Simplify right side
    57.02x = 4,575.96
  5. Step 5: Solve for x
    x = 4,575.96/57.02
  6. Step 6: Final answer
    x = 80.25

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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.