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Finding the Fourth Proportional to 64.12, 95.66 and 61.78

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Solution

The fourth proportional to 64.12, 95.66 and 61.78 is: 92.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.12 : 95.66 = 61.78 : x
  2. Step 2: Convert to fraction form
    64.12/95.66 = 61.78/x
  3. Step 3: Cross multiply
    64.12x = 95.66 × 61.78
  4. Step 4: Simplify right side
    64.12x = 5,909.87
  5. Step 5: Solve for x
    x = 5,909.87/64.12
  6. Step 6: Final answer
    x = 92.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.