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Finding the Fourth Proportional to 47.56, 65.64 and 46.24

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Solution

The fourth proportional to 47.56, 65.64 and 46.24 is: 63.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.56 : 65.64 = 46.24 : x
  2. Step 2: Convert to fraction form
    47.56/65.64 = 46.24/x
  3. Step 3: Cross multiply
    47.56x = 65.64 × 46.24
  4. Step 4: Simplify right side
    47.56x = 3,035.19
  5. Step 5: Solve for x
    x = 3,035.19/47.56
  6. Step 6: Final answer
    x = 63.82

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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.