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Finding the Fourth Proportional to 58.80, 81.24 and 56.75

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Solution

The fourth proportional to 58.80, 81.24 and 56.75 is: 78.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.80 : 81.24 = 56.75 : x
  2. Step 2: Convert to fraction form
    58.80/81.24 = 56.75/x
  3. Step 3: Cross multiply
    58.80x = 81.24 × 56.75
  4. Step 4: Simplify right side
    58.80x = 4,610.37
  5. Step 5: Solve for x
    x = 4,610.37/58.80
  6. Step 6: Final answer
    x = 78.41

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Why These Related Problems?

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