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Finding the Fourth Proportional to 64.74, 96.93 and 41.86

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Solution

The fourth proportional to 64.74, 96.93 and 41.86 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.74 : 96.93 = 41.86 : x
  2. Step 2: Convert to fraction form
    64.74/96.93 = 41.86/x
  3. Step 3: Cross multiply
    64.74x = 96.93 × 41.86
  4. Step 4: Simplify right side
    64.74x = 4,057.35
  5. Step 5: Solve for x
    x = 4,057.35/64.74
  6. Step 6: Final answer
    x = 62.67

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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.