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Finding the Fourth Proportional to 81.42, 122.02 and 48.81

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Solution

The fourth proportional to 81.42, 122.02 and 48.81 is: 73.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 122.02 = 48.81 : x
  2. Step 2: Convert to fraction form
    81.42/122.02 = 48.81/x
  3. Step 3: Cross multiply
    81.42x = 122.02 × 48.81
  4. Step 4: Simplify right side
    81.42x = 5,955.55
  5. Step 5: Solve for x
    x = 5,955.55/81.42
  6. Step 6: Final answer
    x = 73.15

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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.