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Finding the Fourth Proportional to 47.34, 65.25 and 46.17

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Solution

The fourth proportional to 47.34, 65.25 and 46.17 is: 63.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.25 = 46.17 : x
  2. Step 2: Convert to fraction form
    47.34/65.25 = 46.17/x
  3. Step 3: Cross multiply
    47.34x = 65.25 × 46.17
  4. Step 4: Simplify right side
    47.34x = 3,012.59
  5. Step 5: Solve for x
    x = 3,012.59/47.34
  6. Step 6: Final answer
    x = 63.64

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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.