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Finding the Fourth Proportional to 52.06, 78.04 and 34.90

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Solution

The fourth proportional to 52.06, 78.04 and 34.90 is: 52.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 78.04 = 34.90 : x
  2. Step 2: Convert to fraction form
    52.06/78.04 = 34.90/x
  3. Step 3: Cross multiply
    52.06x = 78.04 × 34.90
  4. Step 4: Simplify right side
    52.06x = 2,723.60
  5. Step 5: Solve for x
    x = 2,723.60/52.06
  6. Step 6: Final answer
    x = 52.32

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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.