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Finding the Fourth Proportional to 58.50, 87.24 and 57.48

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Solution

The fourth proportional to 58.50, 87.24 and 57.48 is: 85.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 87.24 = 57.48 : x
  2. Step 2: Convert to fraction form
    58.50/87.24 = 57.48/x
  3. Step 3: Cross multiply
    58.50x = 87.24 × 57.48
  4. Step 4: Simplify right side
    58.50x = 5,014.56
  5. Step 5: Solve for x
    x = 5,014.56/58.50
  6. Step 6: Final answer
    x = 85.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.