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Finding the Fourth Proportional to 46.44, 64.17 and 46.08

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Solution

The fourth proportional to 46.44, 64.17 and 46.08 is: 63.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 64.17 = 46.08 : x
  2. Step 2: Convert to fraction form
    46.44/64.17 = 46.08/x
  3. Step 3: Cross multiply
    46.44x = 64.17 × 46.08
  4. Step 4: Simplify right side
    46.44x = 2,956.95
  5. Step 5: Solve for x
    x = 2,956.95/46.44
  6. Step 6: Final answer
    x = 63.67

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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.