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Finding the Fourth Proportional to 64.91, 97.33 and 45.67

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Solution

The fourth proportional to 64.91, 97.33 and 45.67 is: 68.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.91 : 97.33 = 45.67 : x
  2. Step 2: Convert to fraction form
    64.91/97.33 = 45.67/x
  3. Step 3: Cross multiply
    64.91x = 97.33 × 45.67
  4. Step 4: Simplify right side
    64.91x = 4,445.06
  5. Step 5: Solve for x
    x = 4,445.06/64.91
  6. Step 6: Final answer
    x = 68.48

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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.