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Finding the Fourth Proportional to 57.79, 79.31 and 52.32

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Solution

The fourth proportional to 57.79, 79.31 and 52.32 is: 71.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.79 : 79.31 = 52.32 : x
  2. Step 2: Convert to fraction form
    57.79/79.31 = 52.32/x
  3. Step 3: Cross multiply
    57.79x = 79.31 × 52.32
  4. Step 4: Simplify right side
    57.79x = 4,149.50
  5. Step 5: Solve for x
    x = 4,149.50/57.79
  6. Step 6: Final answer
    x = 71.80

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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.