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Finding the Fourth Proportional to 81.42, 122.16 and 48.96

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Solution

The fourth proportional to 81.42, 122.16 and 48.96 is: 73.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 122.16 = 48.96 : x
  2. Step 2: Convert to fraction form
    81.42/122.16 = 48.96/x
  3. Step 3: Cross multiply
    81.42x = 122.16 × 48.96
  4. Step 4: Simplify right side
    81.42x = 5,980.95
  5. Step 5: Solve for x
    x = 5,980.95/81.42
  6. Step 6: Final answer
    x = 73.46

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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.