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Finding the Fourth Proportional to 77.47, 116.21 and 23.36

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Solution

The fourth proportional to 77.47, 116.21 and 23.36 is: 35.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.47 : 116.21 = 23.36 : x
  2. Step 2: Convert to fraction form
    77.47/116.21 = 23.36/x
  3. Step 3: Cross multiply
    77.47x = 116.21 × 23.36
  4. Step 4: Simplify right side
    77.47x = 2,714.67
  5. Step 5: Solve for x
    x = 2,714.67/77.47
  6. Step 6: Final answer
    x = 35.04

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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.