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Finding the Fourth Proportional to 47.09, 64.98 and 34.83

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Solution

The fourth proportional to 47.09, 64.98 and 34.83 is: 48.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 64.98 = 34.83 : x
  2. Step 2: Convert to fraction form
    47.09/64.98 = 34.83/x
  3. Step 3: Cross multiply
    47.09x = 64.98 × 34.83
  4. Step 4: Simplify right side
    47.09x = 2,263.25
  5. Step 5: Solve for x
    x = 2,263.25/47.09
  6. Step 6: Final answer
    x = 48.06

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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.