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Finding the Fourth Proportional to 69.06, 102.86 and 66.32

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Solution

The fourth proportional to 69.06, 102.86 and 66.32 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 102.86 = 66.32 : x
  2. Step 2: Convert to fraction form
    69.06/102.86 = 66.32/x
  3. Step 3: Cross multiply
    69.06x = 102.86 × 66.32
  4. Step 4: Simplify right side
    69.06x = 6,821.34
  5. Step 5: Solve for x
    x = 6,821.34/69.06
  6. Step 6: Final answer
    x = 98.77

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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.