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Finding the Fourth Proportional to 53.11, 79.69 and 22.68

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Solution

The fourth proportional to 53.11, 79.69 and 22.68 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.11 : 79.69 = 22.68 : x
  2. Step 2: Convert to fraction form
    53.11/79.69 = 22.68/x
  3. Step 3: Cross multiply
    53.11x = 79.69 × 22.68
  4. Step 4: Simplify right side
    53.11x = 1,807.17
  5. Step 5: Solve for x
    x = 1,807.17/53.11
  6. Step 6: Final answer
    x = 34.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.