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Finding the Fourth Proportional to 52.14, 78.05 and 40.80

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Solution

The fourth proportional to 52.14, 78.05 and 40.80 is: 61.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 78.05 = 40.80 : x
  2. Step 2: Convert to fraction form
    52.14/78.05 = 40.80/x
  3. Step 3: Cross multiply
    52.14x = 78.05 × 40.80
  4. Step 4: Simplify right side
    52.14x = 3,184.44
  5. Step 5: Solve for x
    x = 3,184.44/52.14
  6. Step 6: Final answer
    x = 61.07

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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.