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Finding the Fourth Proportional to 52.07, 78.09 and 34.16

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Solution

The fourth proportional to 52.07, 78.09 and 34.16 is: 51.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.07 : 78.09 = 34.16 : x
  2. Step 2: Convert to fraction form
    52.07/78.09 = 34.16/x
  3. Step 3: Cross multiply
    52.07x = 78.09 × 34.16
  4. Step 4: Simplify right side
    52.07x = 2,667.55
  5. Step 5: Solve for x
    x = 2,667.55/52.07
  6. Step 6: Final answer
    x = 51.23

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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.