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Finding the Fourth Proportional to 57.59, 86.50 and 32.00

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Solution

The fourth proportional to 57.59, 86.50 and 32.00 is: 48.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.59 : 86.50 = 32.00 : x
  2. Step 2: Convert to fraction form
    57.59/86.50 = 32.00/x
  3. Step 3: Cross multiply
    57.59x = 86.50 × 32.00
  4. Step 4: Simplify right side
    57.59x = 2,768.09
  5. Step 5: Solve for x
    x = 2,768.09/57.59
  6. Step 6: Final answer
    x = 48.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.