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Finding the Fourth Proportional to 76.22, 114.33 and 21.38

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Solution

The fourth proportional to 76.22, 114.33 and 21.38 is: 32.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 114.33 = 21.38 : x
  2. Step 2: Convert to fraction form
    76.22/114.33 = 21.38/x
  3. Step 3: Cross multiply
    76.22x = 114.33 × 21.38
  4. Step 4: Simplify right side
    76.22x = 2,444.53
  5. Step 5: Solve for x
    x = 2,444.53/76.22
  6. Step 6: Final answer
    x = 32.07

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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.