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Finding the Fourth Proportional to 34.86, 52.00 and 34.40

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Solution

The fourth proportional to 34.86, 52.00 and 34.40 is: 51.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.86 : 52.00 = 34.40 : x
  2. Step 2: Convert to fraction form
    34.86/52.00 = 34.40/x
  3. Step 3: Cross multiply
    34.86x = 52.00 × 34.40
  4. Step 4: Simplify right side
    34.86x = 1,788.72
  5. Step 5: Solve for x
    x = 1,788.72/34.86
  6. Step 6: Final answer
    x = 51.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.