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Finding the Fourth Proportional to 58.54, 87.12 and 57.34

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Solution

The fourth proportional to 58.54, 87.12 and 57.34 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 87.12 = 57.34 : x
  2. Step 2: Convert to fraction form
    58.54/87.12 = 57.34/x
  3. Step 3: Cross multiply
    58.54x = 87.12 × 57.34
  4. Step 4: Simplify right side
    58.54x = 4,995.03
  5. Step 5: Solve for x
    x = 4,995.03/58.54
  6. Step 6: Final answer
    x = 85.33

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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.