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Finding the Fourth Proportional to 65.36, 97.76 and 61.28

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Solution

The fourth proportional to 65.36, 97.76 and 61.28 is: 91.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.36 : 97.76 = 61.28 : x
  2. Step 2: Convert to fraction form
    65.36/97.76 = 61.28/x
  3. Step 3: Cross multiply
    65.36x = 97.76 × 61.28
  4. Step 4: Simplify right side
    65.36x = 5,990.73
  5. Step 5: Solve for x
    x = 5,990.73/65.36
  6. Step 6: Final answer
    x = 91.66

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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.