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Finding the Fourth Proportional to 55.31, 82.90 and 32.48

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Solution

The fourth proportional to 55.31, 82.90 and 32.48 is: 48.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 82.90 = 32.48 : x
  2. Step 2: Convert to fraction form
    55.31/82.90 = 32.48/x
  3. Step 3: Cross multiply
    55.31x = 82.90 × 32.48
  4. Step 4: Simplify right side
    55.31x = 2,692.02
  5. Step 5: Solve for x
    x = 2,692.02/55.31
  6. Step 6: Final answer
    x = 48.67

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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.