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Finding the Fourth Proportional to 64.79, 96.61 and 61.96

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Solution

The fourth proportional to 64.79, 96.61 and 61.96 is: 92.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.79 : 96.61 = 61.96 : x
  2. Step 2: Convert to fraction form
    64.79/96.61 = 61.96/x
  3. Step 3: Cross multiply
    64.79x = 96.61 × 61.96
  4. Step 4: Simplify right side
    64.79x = 5,985.96
  5. Step 5: Solve for x
    x = 5,985.96/64.79
  6. Step 6: Final answer
    x = 92.39

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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.