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Finding the Fourth Proportional to 64.63, 96.67 and 45.24

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Solution

The fourth proportional to 64.63, 96.67 and 45.24 is: 67.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.63 : 96.67 = 45.24 : x
  2. Step 2: Convert to fraction form
    64.63/96.67 = 45.24/x
  3. Step 3: Cross multiply
    64.63x = 96.67 × 45.24
  4. Step 4: Simplify right side
    64.63x = 4,373.35
  5. Step 5: Solve for x
    x = 4,373.35/64.63
  6. Step 6: Final answer
    x = 67.67

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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.