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Finding the Fourth Proportional to 52.14, 78.22 and 48.22

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Solution

The fourth proportional to 52.14, 78.22 and 48.22 is: 72.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 78.22 = 48.22 : x
  2. Step 2: Convert to fraction form
    52.14/78.22 = 48.22/x
  3. Step 3: Cross multiply
    52.14x = 78.22 × 48.22
  4. Step 4: Simplify right side
    52.14x = 3,771.77
  5. Step 5: Solve for x
    x = 3,771.77/52.14
  6. Step 6: Final answer
    x = 72.34

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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.