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Finding the Fourth Proportional to 34.86, 52.17 and 32.01

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Solution

The fourth proportional to 34.86, 52.17 and 32.01 is: 47.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.86 : 52.17 = 32.01 : x
  2. Step 2: Convert to fraction form
    34.86/52.17 = 32.01/x
  3. Step 3: Cross multiply
    34.86x = 52.17 × 32.01
  4. Step 4: Simplify right side
    34.86x = 1,669.81
  5. Step 5: Solve for x
    x = 1,669.81/34.86
  6. Step 6: Final answer
    x = 47.91

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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.