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Finding the Fourth Proportional to 47.14, 64.96 and 34.86

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Solution

The fourth proportional to 47.14, 64.96 and 34.86 is: 48.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.14 : 64.96 = 34.86 : x
  2. Step 2: Convert to fraction form
    47.14/64.96 = 34.86/x
  3. Step 3: Cross multiply
    47.14x = 64.96 × 34.86
  4. Step 4: Simplify right side
    47.14x = 2,264.42
  5. Step 5: Solve for x
    x = 2,264.42/47.14
  6. Step 6: Final answer
    x = 48.04

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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.