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Finding the Fourth Proportional to 64.10, 96.02 and 29.82

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Solution

The fourth proportional to 64.10, 96.02 and 29.82 is: 44.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.10 : 96.02 = 29.82 : x
  2. Step 2: Convert to fraction form
    64.10/96.02 = 29.82/x
  3. Step 3: Cross multiply
    64.10x = 96.02 × 29.82
  4. Step 4: Simplify right side
    64.10x = 2,863.39
  5. Step 5: Solve for x
    x = 2,863.39/64.10
  6. Step 6: Final answer
    x = 44.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.