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Finding the Fourth Proportional to 66.41, 99.05 and 65.39

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Solution

The fourth proportional to 66.41, 99.05 and 65.39 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.41 : 99.05 = 65.39 : x
  2. Step 2: Convert to fraction form
    66.41/99.05 = 65.39/x
  3. Step 3: Cross multiply
    66.41x = 99.05 × 65.39
  4. Step 4: Simplify right side
    66.41x = 6,477.29
  5. Step 5: Solve for x
    x = 6,477.29/66.41
  6. Step 6: Final answer
    x = 97.54

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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.