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Finding the Fourth Proportional to 64.96, 96.88 and 61.36

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Solution

The fourth proportional to 64.96, 96.88 and 61.36 is: 91.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.96 : 96.88 = 61.36 : x
  2. Step 2: Convert to fraction form
    64.96/96.88 = 61.36/x
  3. Step 3: Cross multiply
    64.96x = 96.88 × 61.36
  4. Step 4: Simplify right side
    64.96x = 5,944.56
  5. Step 5: Solve for x
    x = 5,944.56/64.96
  6. Step 6: Final answer
    x = 91.51

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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.