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Finding the Fourth Proportional to 46.22, 64.05 and 45.56

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Solution

The fourth proportional to 46.22, 64.05 and 45.56 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.22 : 64.05 = 45.56 : x
  2. Step 2: Convert to fraction form
    46.22/64.05 = 45.56/x
  3. Step 3: Cross multiply
    46.22x = 64.05 × 45.56
  4. Step 4: Simplify right side
    46.22x = 2,918.11
  5. Step 5: Solve for x
    x = 2,918.11/46.22
  6. Step 6: Final answer
    x = 63.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.