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Finding the Fourth Proportional to 81.60, 122.53 and 66.23

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Solution

The fourth proportional to 81.60, 122.53 and 66.23 is: 99.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.60 : 122.53 = 66.23 : x
  2. Step 2: Convert to fraction form
    81.60/122.53 = 66.23/x
  3. Step 3: Cross multiply
    81.60x = 122.53 × 66.23
  4. Step 4: Simplify right side
    81.60x = 8,115.16
  5. Step 5: Solve for x
    x = 8,115.16/81.60
  6. Step 6: Final answer
    x = 99.45

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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.