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Finding the Fourth Proportional to 47.24, 64.81 and 45.98

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Solution

The fourth proportional to 47.24, 64.81 and 45.98 is: 63.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.24 : 64.81 = 45.98 : x
  2. Step 2: Convert to fraction form
    47.24/64.81 = 45.98/x
  3. Step 3: Cross multiply
    47.24x = 64.81 × 45.98
  4. Step 4: Simplify right side
    47.24x = 2,979.96
  5. Step 5: Solve for x
    x = 2,979.96/47.24
  6. Step 6: Final answer
    x = 63.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.