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Finding the Fourth Proportional to 57.39, 78.80 and 51.24

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Solution

The fourth proportional to 57.39, 78.80 and 51.24 is: 70.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.39 : 78.80 = 51.24 : x
  2. Step 2: Convert to fraction form
    57.39/78.80 = 51.24/x
  3. Step 3: Cross multiply
    57.39x = 78.80 × 51.24
  4. Step 4: Simplify right side
    57.39x = 4,037.46
  5. Step 5: Solve for x
    x = 4,037.46/57.39
  6. Step 6: Final answer
    x = 70.35

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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.