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Finding the Fourth Proportional to 47.26, 65.20 and 34.14

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Solution

The fourth proportional to 47.26, 65.20 and 34.14 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.26 : 65.20 = 34.14 : x
  2. Step 2: Convert to fraction form
    47.26/65.20 = 34.14/x
  3. Step 3: Cross multiply
    47.26x = 65.20 × 34.14
  4. Step 4: Simplify right side
    47.26x = 2,225.76
  5. Step 5: Solve for x
    x = 2,225.76/47.26
  6. Step 6: Final answer
    x = 47.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.