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Finding the Fourth Proportional to 52.58, 78.81 and 22.11

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Solution

The fourth proportional to 52.58, 78.81 and 22.11 is: 33.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 78.81 = 22.11 : x
  2. Step 2: Convert to fraction form
    52.58/78.81 = 22.11/x
  3. Step 3: Cross multiply
    52.58x = 78.81 × 22.11
  4. Step 4: Simplify right side
    52.58x = 1,742.38
  5. Step 5: Solve for x
    x = 1,742.38/52.58
  6. Step 6: Final answer
    x = 33.14

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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.